Solve for d (27+d)/-9=29

$\frac{27 + d}{- 9} = 29$

Multiply both sides of the equation by $- 9$ .

$- 9 \cdot \frac{27 + d}{- 9} = - 9 \cdot 29$

Simplify both sides of the equation.

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Simplify $- 9 \cdot \frac{27 + d}{- 9}$ .

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Cancel the common factor of $9$ .

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Factor $9$ out of $- 9$ .

$9 (- 1) \cdot \frac{27 + d}{- 9} = - 9 \cdot 29$

Factor $9$ out of $- 9$ .

$9 \cdot - 1 \cdot \frac{27 + d}{9 \cdot - 1} = - 9 \cdot 29$

Cancel the common factor.

$9 \cdot - 1 \cdot \frac{27 + d}{9 \cdot - 1} = - 9 \cdot 29$

Rewrite the expression.

$- 1 \cdot \frac{27 + d}{- 1} = - 9 \cdot 29$

Simplify the expression.

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Move the negative one from the denominator of $\frac{27 + d}{- 1}$ .

$- 1 \cdot (- 1 \cdot (27 + d)) = - 9 \cdot 29$

Rewrite $- 1 \cdot (27 + d)$ as $- (27 + d)$ .

$- 1 \cdot (- (27 + d)) = - 9 \cdot 29$

Apply the distributive property.

$- 1 \cdot (- 1 \cdot 27 - d) = - 9 \cdot 29$

Multiply $- 1$ by $27$ .

$- 1 \cdot (- 27 - d) = - 9 \cdot 29$

Apply the distributive property.

$- 1 \cdot - 27 - 1 (- d) = - 9 \cdot 29$

Multiply $- 1$ by $- 27$ .

$27 - 1 (- d) = - 9 \cdot 29$

Multiply $- 1 (- d)$ .

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Multiply $- 1$ by $- 1$ .

$27 + 1 d = - 9 \cdot 29$

Multiply $d$ by $1$ .

$27 + d = - 9 \cdot 29$

Multiply $- 9$ by $29$ .

$27 + d = - 261$

Move all terms not containing $d$ to the right side of the equation.

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Subtract $27$ from both sides of the equation.

$d = - 261 - 27$

Subtract $27$ from $- 261$ .

$d = - 288$

Solve for d (27+d)/-9=29

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