2(u-7)-5=-7(-3u+3)-9u

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Solution for 2(u-7)-5=-7(-3u+3)-9u equation:


Simplifying
2(u + -7) + -5 = -7(-3u + 3) + -9u

Reorder the terms:
2(-7 + u) + -5 = -7(-3u + 3) + -9u
(-7 * 2 + u * 2) + -5 = -7(-3u + 3) + -9u
(-14 + 2u) + -5 = -7(-3u + 3) + -9u

Reorder the terms:
-14 + -5 + 2u = -7(-3u + 3) + -9u

Combine like terms: -14 + -5 = -19
-19 + 2u = -7(-3u + 3) + -9u

Reorder the terms:
-19 + 2u = -7(3 + -3u) + -9u
-19 + 2u = (3 * -7 + -3u * -7) + -9u
-19 + 2u = (-21 + 21u) + -9u

Combine like terms: 21u + -9u = 12u
-19 + 2u = -21 + 12u

Solving
-19 + 2u = -21 + 12u

Solving for variable 'u'.

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

Add '-12u' to each side of the equation.
-19 + 2u + -12u = -21 + 12u + -12u

Combine like terms: 2u + -12u = -10u
-19 + -10u = -21 + 12u + -12u

Combine like terms: 12u + -12u = 0
-19 + -10u = -21 + 0
-19 + -10u = -21

Add '19' to each side of the equation.
-19 + 19 + -10u = -21 + 19

Combine like terms: -19 + 19 = 0
0 + -10u = -21 + 19
-10u = -21 + 19

Combine like terms: -21 + 19 = -2
-10u = -2

Divide each side by '-10'.
u = 0.2

Simplifying
u = 0.2

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