2(u-5)-9=-4(-7u+1)-8u

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Solution for 2(u-5)-9=-4(-7u+1)-8u equation:


Simplifying
2(u + -5) + -9 = -4(-7u + 1) + -8u

Reorder the terms:
2(-5 + u) + -9 = -4(-7u + 1) + -8u
(-5 * 2 + u * 2) + -9 = -4(-7u + 1) + -8u
(-10 + 2u) + -9 = -4(-7u + 1) + -8u

Reorder the terms:
-10 + -9 + 2u = -4(-7u + 1) + -8u

Combine like terms: -10 + -9 = -19
-19 + 2u = -4(-7u + 1) + -8u

Reorder the terms:
-19 + 2u = -4(1 + -7u) + -8u
-19 + 2u = (1 * -4 + -7u * -4) + -8u
-19 + 2u = (-4 + 28u) + -8u

Combine like terms: 28u + -8u = 20u
-19 + 2u = -4 + 20u

Solving
-19 + 2u = -4 + 20u

Solving for variable 'u'.

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

Add '-20u' to each side of the equation.
-19 + 2u + -20u = -4 + 20u + -20u

Combine like terms: 2u + -20u = -18u
-19 + -18u = -4 + 20u + -20u

Combine like terms: 20u + -20u = 0
-19 + -18u = -4 + 0
-19 + -18u = -4

Add '19' to each side of the equation.
-19 + 19 + -18u = -4 + 19

Combine like terms: -19 + 19 = 0
0 + -18u = -4 + 19
-18u = -4 + 19

Combine like terms: -4 + 19 = 15
-18u = 15

Divide each side by '-18'.
u = -0.8333333333

Simplifying
u = -0.8333333333

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