-3(18u-5)=-10u+7(-4u-7)

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Solution for -3(18u-5)=-10u+7(-4u-7) equation:


Simplifying
-3(18u + -5) = -10u + 7(-4u + -7)

Reorder the terms:
-3(-5 + 18u) = -10u + 7(-4u + -7)
(-5 * -3 + 18u * -3) = -10u + 7(-4u + -7)
(15 + -54u) = -10u + 7(-4u + -7)

Reorder the terms:
15 + -54u = -10u + 7(-7 + -4u)
15 + -54u = -10u + (-7 * 7 + -4u * 7)
15 + -54u = -10u + (-49 + -28u)

Reorder the terms:
15 + -54u = -49 + -10u + -28u

Combine like terms: -10u + -28u = -38u
15 + -54u = -49 + -38u

Solving
15 + -54u = -49 + -38u

Solving for variable 'u'.

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

Add '38u' to each side of the equation.
15 + -54u + 38u = -49 + -38u + 38u

Combine like terms: -54u + 38u = -16u
15 + -16u = -49 + -38u + 38u

Combine like terms: -38u + 38u = 0
15 + -16u = -49 + 0
15 + -16u = -49

Add '-15' to each side of the equation.
15 + -15 + -16u = -49 + -15

Combine like terms: 15 + -15 = 0
0 + -16u = -49 + -15
-16u = -49 + -15

Combine like terms: -49 + -15 = -64
-16u = -64

Divide each side by '-16'.
u = 4

Simplifying
u = 4

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