7(u-4)-6=-4(-6u+7)-3u

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Solution for 7(u-4)-6=-4(-6u+7)-3u equation:


Simplifying
7(u + -4) + -6 = -4(-6u + 7) + -3u

Reorder the terms:
7(-4 + u) + -6 = -4(-6u + 7) + -3u
(-4 * 7 + u * 7) + -6 = -4(-6u + 7) + -3u
(-28 + 7u) + -6 = -4(-6u + 7) + -3u

Reorder the terms:
-28 + -6 + 7u = -4(-6u + 7) + -3u

Combine like terms: -28 + -6 = -34
-34 + 7u = -4(-6u + 7) + -3u

Reorder the terms:
-34 + 7u = -4(7 + -6u) + -3u
-34 + 7u = (7 * -4 + -6u * -4) + -3u
-34 + 7u = (-28 + 24u) + -3u

Combine like terms: 24u + -3u = 21u
-34 + 7u = -28 + 21u

Solving
-34 + 7u = -28 + 21u

Solving for variable 'u'.

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

Add '-21u' to each side of the equation.
-34 + 7u + -21u = -28 + 21u + -21u

Combine like terms: 7u + -21u = -14u
-34 + -14u = -28 + 21u + -21u

Combine like terms: 21u + -21u = 0
-34 + -14u = -28 + 0
-34 + -14u = -28

Add '34' to each side of the equation.
-34 + 34 + -14u = -28 + 34

Combine like terms: -34 + 34 = 0
0 + -14u = -28 + 34
-14u = -28 + 34

Combine like terms: -28 + 34 = 6
-14u = 6

Divide each side by '-14'.
u = -0.4285714286

Simplifying
u = -0.4285714286

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