3(u-9)-3=-7(-3u+4)-2u

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Solution for 3(u-9)-3=-7(-3u+4)-2u equation:


Simplifying
3(u + -9) + -3 = -7(-3u + 4) + -2u

Reorder the terms:
3(-9 + u) + -3 = -7(-3u + 4) + -2u
(-9 * 3 + u * 3) + -3 = -7(-3u + 4) + -2u
(-27 + 3u) + -3 = -7(-3u + 4) + -2u

Reorder the terms:
-27 + -3 + 3u = -7(-3u + 4) + -2u

Combine like terms: -27 + -3 = -30
-30 + 3u = -7(-3u + 4) + -2u

Reorder the terms:
-30 + 3u = -7(4 + -3u) + -2u
-30 + 3u = (4 * -7 + -3u * -7) + -2u
-30 + 3u = (-28 + 21u) + -2u

Combine like terms: 21u + -2u = 19u
-30 + 3u = -28 + 19u

Solving
-30 + 3u = -28 + 19u

Solving for variable 'u'.

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

Add '-19u' to each side of the equation.
-30 + 3u + -19u = -28 + 19u + -19u

Combine like terms: 3u + -19u = -16u
-30 + -16u = -28 + 19u + -19u

Combine like terms: 19u + -19u = 0
-30 + -16u = -28 + 0
-30 + -16u = -28

Add '30' to each side of the equation.
-30 + 30 + -16u = -28 + 30

Combine like terms: -30 + 30 = 0
0 + -16u = -28 + 30
-16u = -28 + 30

Combine like terms: -28 + 30 = 2
-16u = 2

Divide each side by '-16'.
u = -0.125

Simplifying
u = -0.125

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