-3(9u+11)+5(5u+5)=u-(4u+18)

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Solution for -3(9u+11)+5(5u+5)=u-(4u+18) equation:


Simplifying
-3(9u + 11) + 5(5u + 5) = u + -1(4u + 18)

Reorder the terms:
-3(11 + 9u) + 5(5u + 5) = u + -1(4u + 18)
(11 * -3 + 9u * -3) + 5(5u + 5) = u + -1(4u + 18)
(-33 + -27u) + 5(5u + 5) = u + -1(4u + 18)

Reorder the terms:
-33 + -27u + 5(5 + 5u) = u + -1(4u + 18)
-33 + -27u + (5 * 5 + 5u * 5) = u + -1(4u + 18)
-33 + -27u + (25 + 25u) = u + -1(4u + 18)

Reorder the terms:
-33 + 25 + -27u + 25u = u + -1(4u + 18)

Combine like terms: -33 + 25 = -8
-8 + -27u + 25u = u + -1(4u + 18)

Combine like terms: -27u + 25u = -2u
-8 + -2u = u + -1(4u + 18)

Reorder the terms:
-8 + -2u = u + -1(18 + 4u)
-8 + -2u = u + (18 * -1 + 4u * -1)
-8 + -2u = u + (-18 + -4u)

Reorder the terms:
-8 + -2u = -18 + u + -4u

Combine like terms: u + -4u = -3u
-8 + -2u = -18 + -3u

Solving
-8 + -2u = -18 + -3u

Solving for variable 'u'.

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

Add '3u' to each side of the equation.
-8 + -2u + 3u = -18 + -3u + 3u

Combine like terms: -2u + 3u = 1u
-8 + 1u = -18 + -3u + 3u

Combine like terms: -3u + 3u = 0
-8 + 1u = -18 + 0
-8 + 1u = -18

Add '8' to each side of the equation.
-8 + 8 + 1u = -18 + 8

Combine like terms: -8 + 8 = 0
0 + 1u = -18 + 8
1u = -18 + 8

Combine like terms: -18 + 8 = -10
1u = -10

Divide each side by '1'.
u = -10

Simplifying
u = -10

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