3(u-2)-4=-4(-5u+1)-3u

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Solution for 3(u-2)-4=-4(-5u+1)-3u equation:


Simplifying
3(u + -2) + -4 = -4(-5u + 1) + -3u

Reorder the terms:
3(-2 + u) + -4 = -4(-5u + 1) + -3u
(-2 * 3 + u * 3) + -4 = -4(-5u + 1) + -3u
(-6 + 3u) + -4 = -4(-5u + 1) + -3u

Reorder the terms:
-6 + -4 + 3u = -4(-5u + 1) + -3u

Combine like terms: -6 + -4 = -10
-10 + 3u = -4(-5u + 1) + -3u

Reorder the terms:
-10 + 3u = -4(1 + -5u) + -3u
-10 + 3u = (1 * -4 + -5u * -4) + -3u
-10 + 3u = (-4 + 20u) + -3u

Combine like terms: 20u + -3u = 17u
-10 + 3u = -4 + 17u

Solving
-10 + 3u = -4 + 17u

Solving for variable 'u'.

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

Add '-17u' to each side of the equation.
-10 + 3u + -17u = -4 + 17u + -17u

Combine like terms: 3u + -17u = -14u
-10 + -14u = -4 + 17u + -17u

Combine like terms: 17u + -17u = 0
-10 + -14u = -4 + 0
-10 + -14u = -4

Add '10' to each side of the equation.
-10 + 10 + -14u = -4 + 10

Combine like terms: -10 + 10 = 0
0 + -14u = -4 + 10
-14u = -4 + 10

Combine like terms: -4 + 10 = 6
-14u = 6

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

Simplifying
u = -0.4285714286

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