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5\left(3g-1\right)=16\left(g+1\right)
Variable g cannot be equal to -1 since division by zero is not defined. Multiply both sides of the equation by 20\left(g+1\right), the least common multiple of 4g+4,5.
15g-5=16\left(g+1\right)
Use the distributive property to multiply 5 by 3g-1.
15g-5=16g+16
Use the distributive property to multiply 16 by g+1.
15g-5-16g=16
Subtract 16g from both sides.
-g-5=16
Combine 15g and -16g to get -g.
-g=16+5
Add 5 to both sides.
-g=21
Add 16 and 5 to get 21.
g=-21
Multiply both sides by -1.