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

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


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

Reorder the terms:
8 + 2(-9 + 2u) = -2(7u + -1) + 8u
8 + (-9 * 2 + 2u * 2) = -2(7u + -1) + 8u
8 + (-18 + 4u) = -2(7u + -1) + 8u

Combine like terms: 8 + -18 = -10
-10 + 4u = -2(7u + -1) + 8u

Reorder the terms:
-10 + 4u = -2(-1 + 7u) + 8u
-10 + 4u = (-1 * -2 + 7u * -2) + 8u
-10 + 4u = (2 + -14u) + 8u

Combine like terms: -14u + 8u = -6u
-10 + 4u = 2 + -6u

Solving
-10 + 4u = 2 + -6u

Solving for variable 'u'.

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

Add '6u' to each side of the equation.
-10 + 4u + 6u = 2 + -6u + 6u

Combine like terms: 4u + 6u = 10u
-10 + 10u = 2 + -6u + 6u

Combine like terms: -6u + 6u = 0
-10 + 10u = 2 + 0
-10 + 10u = 2

Add '10' to each side of the equation.
-10 + 10 + 10u = 2 + 10

Combine like terms: -10 + 10 = 0
0 + 10u = 2 + 10
10u = 2 + 10

Combine like terms: 2 + 10 = 12
10u = 12

Divide each side by '10'.
u = 1.2

Simplifying
u = 1.2

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