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

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


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

Reorder the terms:
5(-5 + u) + -1 = -4(-3u + 5) + -3u
(-5 * 5 + u * 5) + -1 = -4(-3u + 5) + -3u
(-25 + 5u) + -1 = -4(-3u + 5) + -3u

Reorder the terms:
-25 + -1 + 5u = -4(-3u + 5) + -3u

Combine like terms: -25 + -1 = -26
-26 + 5u = -4(-3u + 5) + -3u

Reorder the terms:
-26 + 5u = -4(5 + -3u) + -3u
-26 + 5u = (5 * -4 + -3u * -4) + -3u
-26 + 5u = (-20 + 12u) + -3u

Combine like terms: 12u + -3u = 9u
-26 + 5u = -20 + 9u

Solving
-26 + 5u = -20 + 9u

Solving for variable 'u'.

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

Add '-9u' to each side of the equation.
-26 + 5u + -9u = -20 + 9u + -9u

Combine like terms: 5u + -9u = -4u
-26 + -4u = -20 + 9u + -9u

Combine like terms: 9u + -9u = 0
-26 + -4u = -20 + 0
-26 + -4u = -20

Add '26' to each side of the equation.
-26 + 26 + -4u = -20 + 26

Combine like terms: -26 + 26 = 0
0 + -4u = -20 + 26
-4u = -20 + 26

Combine like terms: -20 + 26 = 6
-4u = 6

Divide each side by '-4'.
u = -1.5

Simplifying
u = -1.5

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