-5(-4u+6)-7u=5(u-3)-1

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Solution for -5(-4u+6)-7u=5(u-3)-1 equation:


Simplifying
-5(-4u + 6) + -7u = 5(u + -3) + -1

Reorder the terms:
-5(6 + -4u) + -7u = 5(u + -3) + -1
(6 * -5 + -4u * -5) + -7u = 5(u + -3) + -1
(-30 + 20u) + -7u = 5(u + -3) + -1

Combine like terms: 20u + -7u = 13u
-30 + 13u = 5(u + -3) + -1

Reorder the terms:
-30 + 13u = 5(-3 + u) + -1
-30 + 13u = (-3 * 5 + u * 5) + -1
-30 + 13u = (-15 + 5u) + -1

Reorder the terms:
-30 + 13u = -15 + -1 + 5u

Combine like terms: -15 + -1 = -16
-30 + 13u = -16 + 5u

Solving
-30 + 13u = -16 + 5u

Solving for variable 'u'.

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

Add '-5u' to each side of the equation.
-30 + 13u + -5u = -16 + 5u + -5u

Combine like terms: 13u + -5u = 8u
-30 + 8u = -16 + 5u + -5u

Combine like terms: 5u + -5u = 0
-30 + 8u = -16 + 0
-30 + 8u = -16

Add '30' to each side of the equation.
-30 + 30 + 8u = -16 + 30

Combine like terms: -30 + 30 = 0
0 + 8u = -16 + 30
8u = -16 + 30

Combine like terms: -16 + 30 = 14
8u = 14

Divide each side by '8'.
u = 1.75

Simplifying
u = 1.75

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