-2(-2u+8)-8u=2(u-9)-7

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


Simplifying
-2(-2u + 8) + -8u = 2(u + -9) + -7

Reorder the terms:
-2(8 + -2u) + -8u = 2(u + -9) + -7
(8 * -2 + -2u * -2) + -8u = 2(u + -9) + -7
(-16 + 4u) + -8u = 2(u + -9) + -7

Combine like terms: 4u + -8u = -4u
-16 + -4u = 2(u + -9) + -7

Reorder the terms:
-16 + -4u = 2(-9 + u) + -7
-16 + -4u = (-9 * 2 + u * 2) + -7
-16 + -4u = (-18 + 2u) + -7

Reorder the terms:
-16 + -4u = -18 + -7 + 2u

Combine like terms: -18 + -7 = -25
-16 + -4u = -25 + 2u

Solving
-16 + -4u = -25 + 2u

Solving for variable 'u'.

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

Add '-2u' to each side of the equation.
-16 + -4u + -2u = -25 + 2u + -2u

Combine like terms: -4u + -2u = -6u
-16 + -6u = -25 + 2u + -2u

Combine like terms: 2u + -2u = 0
-16 + -6u = -25 + 0
-16 + -6u = -25

Add '16' to each side of the equation.
-16 + 16 + -6u = -25 + 16

Combine like terms: -16 + 16 = 0
0 + -6u = -25 + 16
-6u = -25 + 16

Combine like terms: -25 + 16 = -9
-6u = -9

Divide each side by '-6'.
u = 1.5

Simplifying
u = 1.5

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