-4(-5u+9)-2u=6(u-5)-2

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Solution for -4(-5u+9)-2u=6(u-5)-2 equation:


Simplifying
-4(-5u + 9) + -2u = 6(u + -5) + -2

Reorder the terms:
-4(9 + -5u) + -2u = 6(u + -5) + -2
(9 * -4 + -5u * -4) + -2u = 6(u + -5) + -2
(-36 + 20u) + -2u = 6(u + -5) + -2

Combine like terms: 20u + -2u = 18u
-36 + 18u = 6(u + -5) + -2

Reorder the terms:
-36 + 18u = 6(-5 + u) + -2
-36 + 18u = (-5 * 6 + u * 6) + -2
-36 + 18u = (-30 + 6u) + -2

Reorder the terms:
-36 + 18u = -30 + -2 + 6u

Combine like terms: -30 + -2 = -32
-36 + 18u = -32 + 6u

Solving
-36 + 18u = -32 + 6u

Solving for variable 'u'.

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

Add '-6u' to each side of the equation.
-36 + 18u + -6u = -32 + 6u + -6u

Combine like terms: 18u + -6u = 12u
-36 + 12u = -32 + 6u + -6u

Combine like terms: 6u + -6u = 0
-36 + 12u = -32 + 0
-36 + 12u = -32

Add '36' to each side of the equation.
-36 + 36 + 12u = -32 + 36

Combine like terms: -36 + 36 = 0
0 + 12u = -32 + 36
12u = -32 + 36

Combine like terms: -32 + 36 = 4
12u = 4

Divide each side by '12'.
u = 0.3333333333

Simplifying
u = 0.3333333333

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