3(5u+6)+4(4u-3)=99

Solution for 3(5u+6)+4(4u-3)=99 equation:

Simplifying
3(5u + 6) + 4(4u + -3) = 99

Reorder the terms:
3(6 + 5u) + 4(4u + -3) = 99
(6 * 3 + 5u * 3) + 4(4u + -3) = 99
(18 + 15u) + 4(4u + -3) = 99

Reorder the terms:
18 + 15u + 4(-3 + 4u) = 99
18 + 15u + (-3 * 4 + 4u * 4) = 99
18 + 15u + (-12 + 16u) = 99

Reorder the terms:
18 + -12 + 15u + 16u = 99

Combine like terms: 18 + -12 = 6
6 + 15u + 16u = 99

Combine like terms: 15u + 16u = 31u
6 + 31u = 99

Solving
6 + 31u = 99

Solving for variable 'u'.

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

Add '-6' to each side of the equation.
6 + -6 + 31u = 99 + -6

Combine like terms: 6 + -6 = 0
0 + 31u = 99 + -6
31u = 99 + -6

Combine like terms: 99 + -6 = 93
31u = 93

Divide each side by '31'.
u = 3

Simplifying
u = 3