-4(z+1)+7z=8

Simplify each term.

Apply the distributive property.

-4z-4⋅1+7z=8

Multiply -4 by 1.

-4z-4+7z=8

-4z-4+7z=8

Add -4z and 7z.

3z-4=8

3z-4=8

Add 4 to both sides of the equation.

3z=8+4

Add 8 and 4.

3z=12

3z=12

Divide each term in 3z=12 by 3.

3z3=123

Cancel the common factor of 3.

Cancel the common factor.

3z3=123

Divide z by 1.

z=123

z=123

Divide 12 by 3.

z=4

z=4

Solve for z -4(z+1)+7z=8