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

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


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

Reorder the terms:
4(-9 + u) + -3 = -7(-3u + 7) + -2u
(-9 * 4 + u * 4) + -3 = -7(-3u + 7) + -2u
(-36 + 4u) + -3 = -7(-3u + 7) + -2u

Reorder the terms:
-36 + -3 + 4u = -7(-3u + 7) + -2u

Combine like terms: -36 + -3 = -39
-39 + 4u = -7(-3u + 7) + -2u

Reorder the terms:
-39 + 4u = -7(7 + -3u) + -2u
-39 + 4u = (7 * -7 + -3u * -7) + -2u
-39 + 4u = (-49 + 21u) + -2u

Combine like terms: 21u + -2u = 19u
-39 + 4u = -49 + 19u

Solving
-39 + 4u = -49 + 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.
-39 + 4u + -19u = -49 + 19u + -19u

Combine like terms: 4u + -19u = -15u
-39 + -15u = -49 + 19u + -19u

Combine like terms: 19u + -19u = 0
-39 + -15u = -49 + 0
-39 + -15u = -49

Add '39' to each side of the equation.
-39 + 39 + -15u = -49 + 39

Combine like terms: -39 + 39 = 0
0 + -15u = -49 + 39
-15u = -49 + 39

Combine like terms: -49 + 39 = -10
-15u = -10

Divide each side by '-15'.
u = 0.6666666667

Simplifying
u = 0.6666666667

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