3-4(2u-1)=2u+17

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Solution for 3-4(2u-1)=2u+17 equation:


Simplifying
3 + -4(2u + -1) = 2u + 17

Reorder the terms:
3 + -4(-1 + 2u) = 2u + 17
3 + (-1 * -4 + 2u * -4) = 2u + 17
3 + (4 + -8u) = 2u + 17

Combine like terms: 3 + 4 = 7
7 + -8u = 2u + 17

Reorder the terms:
7 + -8u = 17 + 2u

Solving
7 + -8u = 17 + 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.
7 + -8u + -2u = 17 + 2u + -2u

Combine like terms: -8u + -2u = -10u
7 + -10u = 17 + 2u + -2u

Combine like terms: 2u + -2u = 0
7 + -10u = 17 + 0
7 + -10u = 17

Add '-7' to each side of the equation.
7 + -7 + -10u = 17 + -7

Combine like terms: 7 + -7 = 0
0 + -10u = 17 + -7
-10u = 17 + -7

Combine like terms: 17 + -7 = 10
-10u = 10

Divide each side by '-10'.
u = -1

Simplifying
u = -1

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