7(18u+20)=9(15u-2)+14

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Solution for 7(18u+20)=9(15u-2)+14 equation: 


Simplifying
7(18u + 20) = 9(15u + -2) + 14

Reorder the terms:
7(20 + 18u) = 9(15u + -2) + 14
(20 * 7 + 18u * 7) = 9(15u + -2) + 14
(140 + 126u) = 9(15u + -2) + 14

Reorder the terms:
140 + 126u = 9(-2 + 15u) + 14
140 + 126u = (-2 * 9 + 15u * 9) + 14
140 + 126u = (-18 + 135u) + 14

Reorder the terms:
140 + 126u = -18 + 14 + 135u

Combine like terms: -18 + 14 = -4
140 + 126u = -4 + 135u

Solving
140 + 126u = -4 + 135u

Solving for variable 'u'.

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

Add '-135u' to each side of the equation.
140 + 126u + -135u = -4 + 135u + -135u

Combine like terms: 126u + -135u = -9u
140 + -9u = -4 + 135u + -135u

Combine like terms: 135u + -135u = 0
140 + -9u = -4 + 0
140 + -9u = -4

Add '-140' to each side of the equation.
140 + -140 + -9u = -4 + -140

Combine like terms: 140 + -140 = 0
0 + -9u = -4 + -140
-9u = -4 + -140

Combine like terms: -4 + -140 = -144
-9u = -144

Divide each side by '-9'.
u = 16

Simplifying
u = 16

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