4(5u-7)-20(u-7)=u-3(u+10)

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Solution for 4(5u-7)-20(u-7)=u-3(u+10) equation:


Simplifying
4(5u + -7) + -20(u + -7) = u + -3(u + 10)

Reorder the terms:
4(-7 + 5u) + -20(u + -7) = u + -3(u + 10)
(-7 * 4 + 5u * 4) + -20(u + -7) = u + -3(u + 10)
(-28 + 20u) + -20(u + -7) = u + -3(u + 10)

Reorder the terms:
-28 + 20u + -20(-7 + u) = u + -3(u + 10)
-28 + 20u + (-7 * -20 + u * -20) = u + -3(u + 10)
-28 + 20u + (140 + -20u) = u + -3(u + 10)

Reorder the terms:
-28 + 140 + 20u + -20u = u + -3(u + 10)

Combine like terms: -28 + 140 = 112
112 + 20u + -20u = u + -3(u + 10)

Combine like terms: 20u + -20u = 0
112 + 0 = u + -3(u + 10)
112 = u + -3(u + 10)

Reorder the terms:
112 = u + -3(10 + u)
112 = u + (10 * -3 + u * -3)
112 = u + (-30 + -3u)

Reorder the terms:
112 = -30 + u + -3u

Combine like terms: u + -3u = -2u
112 = -30 + -2u

Solving
112 = -30 + -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.
112 + 2u = -30 + -2u + 2u

Combine like terms: -2u + 2u = 0
112 + 2u = -30 + 0
112 + 2u = -30

Add '-112' to each side of the equation.
112 + -112 + 2u = -30 + -112

Combine like terms: 112 + -112 = 0
0 + 2u = -30 + -112
2u = -30 + -112

Combine like terms: -30 + -112 = -142
2u = -142

Divide each side by '2'.
u = -71

Simplifying
u = -71

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