-3(u-2)=7u+16

Solution for -3(u-2)=7u+16 equation:

Simplifying
-3(u + -2) = 7u + 16

Reorder the terms:
-3(-2 + u) = 7u + 16
(-2 * -3 + u * -3) = 7u + 16
(6 + -3u) = 7u + 16

Reorder the terms:
6 + -3u = 16 + 7u

Solving
6 + -3u = 16 + 7u

Solving for variable 'u'.

Move all terms containing u to the left, all other terms to the right.

Add '-7u' to each side of the equation.
6 + -3u + -7u = 16 + 7u + -7u

Combine like terms: -3u + -7u = -10u
6 + -10u = 16 + 7u + -7u

Combine like terms: 7u + -7u = 0
6 + -10u = 16 + 0
6 + -10u = 16

Add '-6' to each side of the equation.
6 + -6 + -10u = 16 + -6

Combine like terms: 6 + -6 = 0
0 + -10u = 16 + -6
-10u = 16 + -6

Combine like terms: 16 + -6 = 10
-10u = 10

Divide each side by '-10'.
u = -1

Simplifying
u = -1