-3(-7u+5)-5u=6(u-2)-5

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Solution for -3(-7u+5)-5u=6(u-2)-5 equation: 


Simplifying
-3(-7u + 5) + -5u = 6(u + -2) + -5

Reorder the terms:
-3(5 + -7u) + -5u = 6(u + -2) + -5
(5 * -3 + -7u * -3) + -5u = 6(u + -2) + -5
(-15 + 21u) + -5u = 6(u + -2) + -5

Combine like terms: 21u + -5u = 16u
-15 + 16u = 6(u + -2) + -5

Reorder the terms:
-15 + 16u = 6(-2 + u) + -5
-15 + 16u = (-2 * 6 + u * 6) + -5
-15 + 16u = (-12 + 6u) + -5

Reorder the terms:
-15 + 16u = -12 + -5 + 6u

Combine like terms: -12 + -5 = -17
-15 + 16u = -17 + 6u

Solving
-15 + 16u = -17 + 6u

Solving for variable 'u'.

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

Add '-6u' to each side of the equation.
-15 + 16u + -6u = -17 + 6u + -6u

Combine like terms: 16u + -6u = 10u
-15 + 10u = -17 + 6u + -6u

Combine like terms: 6u + -6u = 0
-15 + 10u = -17 + 0
-15 + 10u = -17

Add '15' to each side of the equation.
-15 + 15 + 10u = -17 + 15

Combine like terms: -15 + 15 = 0
0 + 10u = -17 + 15
10u = -17 + 15

Combine like terms: -17 + 15 = -2
10u = -2

Divide each side by '10'.
u = -0.2

Simplifying
u = -0.2

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