3w+6(u+1)-10=11w-3(4-2w)

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Solution for 3w+6(u+1)-10=11w-3(4-2w) equation:


Simplifying
3w + 6(u + 1) + -10 = 11w + -3(4 + -2w)

Reorder the terms:
3w + 6(1 + u) + -10 = 11w + -3(4 + -2w)
3w + (1 * 6 + u * 6) + -10 = 11w + -3(4 + -2w)
3w + (6 + 6u) + -10 = 11w + -3(4 + -2w)

Reorder the terms:
6 + -10 + 6u + 3w = 11w + -3(4 + -2w)

Combine like terms: 6 + -10 = -4
-4 + 6u + 3w = 11w + -3(4 + -2w)
-4 + 6u + 3w = 11w + (4 * -3 + -2w * -3)
-4 + 6u + 3w = 11w + (-12 + 6w)

Reorder the terms:
-4 + 6u + 3w = -12 + 11w + 6w

Combine like terms: 11w + 6w = 17w
-4 + 6u + 3w = -12 + 17w

Solving
-4 + 6u + 3w = -12 + 17w

Solving for variable 'u'.

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

Add '4' to each side of the equation.
-4 + 6u + 4 + 3w = -12 + 4 + 17w

Reorder the terms:
-4 + 4 + 6u + 3w = -12 + 4 + 17w

Combine like terms: -4 + 4 = 0
0 + 6u + 3w = -12 + 4 + 17w
6u + 3w = -12 + 4 + 17w

Combine like terms: -12 + 4 = -8
6u + 3w = -8 + 17w

Add '-3w' to each side of the equation.
6u + 3w + -3w = -8 + 17w + -3w

Combine like terms: 3w + -3w = 0
6u + 0 = -8 + 17w + -3w
6u = -8 + 17w + -3w

Combine like terms: 17w + -3w = 14w
6u = -8 + 14w

Divide each side by '6'.
u = -1.333333333 + 2.333333333w

Simplifying
u = -1.333333333 + 2.333333333w

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