Solve for t t=(3h-15t)/g

Math
t=3h-15tg
Factor 3 out of 3h-15t.
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Factor 3 out of 3h.
t=3(h)-15tg
Factor 3 out of -15t.
t=3(h)+3(-5t)g
Factor 3 out of 3(h)+3(-5t).
t=3(h-5t)g
t=3(h-5t)g
Move all terms containing t to the left side of the equation.
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Subtract 3(h-5t)g from both sides of the equation.
t-3(h-5t)g=0
To write t as a fraction with a common denominator, multiply by gg.
tgg-3(h-5t)g=0
Combine the numerators over the common denominator.
tg-3(h-5t)g=0
Simplify the numerator.
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Apply the distributive property.
tg-3h-3(-5t)g=0
Multiply -5 by -3.
tg-3h+15tg=0
tg-3h+15tg=0
tg-3h+15tg=0
Multiply both sides of the equation by g.
tg-3h+15t=0⋅(g)
Remove parentheses.
tg-3h+15t=0⋅(g)
Multiply 0 by g.
tg-3h+15t=0
Add 3h to both sides of the equation.
tg+15t=3h
Factor t out of tg+15t.
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Factor t out of tg.
t(g)+15t=3h
Factor t out of 15t.
t(g)+t⋅15=3h
Factor t out of t(g)+t⋅15.
t(g+15)=3h
t(g+15)=3h
Divide each term by g+15 and simplify.
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Divide each term in t(g+15)=3h by g+15.
t(g+15)g+15=3hg+15
Cancel the common factor of g+15.
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Cancel the common factor.
t(g+15)g+15=3hg+15
Divide t by 1.
t=3hg+15
t=3hg+15
t=3hg+15
Solve for t t=(3h-15t)/g

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