2(u-2)-9=-3(-6u+5)-6

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Solution for 2(u-2)-9=-3(-6u+5)-6 equation:


Simplifying
2(u + -2) + -9 = -3(-6u + 5) + -6

Reorder the terms:
2(-2 + u) + -9 = -3(-6u + 5) + -6
(-2 * 2 + u * 2) + -9 = -3(-6u + 5) + -6
(-4 + 2u) + -9 = -3(-6u + 5) + -6

Reorder the terms:
-4 + -9 + 2u = -3(-6u + 5) + -6

Combine like terms: -4 + -9 = -13
-13 + 2u = -3(-6u + 5) + -6

Reorder the terms:
-13 + 2u = -3(5 + -6u) + -6
-13 + 2u = (5 * -3 + -6u * -3) + -6
-13 + 2u = (-15 + 18u) + -6

Reorder the terms:
-13 + 2u = -15 + -6 + 18u

Combine like terms: -15 + -6 = -21
-13 + 2u = -21 + 18u

Solving
-13 + 2u = -21 + 18u

Solving for variable 'u'.

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

Add '-18u' to each side of the equation.
-13 + 2u + -18u = -21 + 18u + -18u

Combine like terms: 2u + -18u = -16u
-13 + -16u = -21 + 18u + -18u

Combine like terms: 18u + -18u = 0
-13 + -16u = -21 + 0
-13 + -16u = -21

Add '13' to each side of the equation.
-13 + 13 + -16u = -21 + 13

Combine like terms: -13 + 13 = 0
0 + -16u = -21 + 13
-16u = -21 + 13

Combine like terms: -21 + 13 = -8
-16u = -8

Divide each side by '-16'.
u = 0.5

Simplifying
u = 0.5

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