0.45u+0.6(4u)-3.5(7u-5.5)=-(20u+22)

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Solution for 0.45u+0.6(4u)-3.5(7u-5.5)=-(20u+22) equation:


Simplifying
0.45u + 0.6(4u) + -3.5(7u + -5.5) = -1(20u + 22)

Remove parenthesis around (4u)
0.45u + 0.6 * 4u + -3.5(7u + -5.5) = -1(20u + 22)

Multiply 0.6 * 4
0.45u + 2.4u + -3.5(7u + -5.5) = -1(20u + 22)

Reorder the terms:
0.45u + 2.4u + -3.5(-5.5 + 7u) = -1(20u + 22)
0.45u + 2.4u + (-5.5 * -3.5 + 7u * -3.5) = -1(20u + 22)
0.45u + 2.4u + (19.25 + -24.5u) = -1(20u + 22)

Reorder the terms:
19.25 + 0.45u + 2.4u + -24.5u = -1(20u + 22)

Combine like terms: 0.45u + 2.4u = 2.85u
19.25 + 2.85u + -24.5u = -1(20u + 22)

Combine like terms: 2.85u + -24.5u = -21.65u
19.25 + -21.65u = -1(20u + 22)

Reorder the terms:
19.25 + -21.65u = -1(22 + 20u)
19.25 + -21.65u = (22 * -1 + 20u * -1)
19.25 + -21.65u = (-22 + -20u)

Solving
19.25 + -21.65u = -22 + -20u

Solving for variable 'u'.

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

Add '20u' to each side of the equation.
19.25 + -21.65u + 20u = -22 + -20u + 20u

Combine like terms: -21.65u + 20u = -1.65u
19.25 + -1.65u = -22 + -20u + 20u

Combine like terms: -20u + 20u = 0
19.25 + -1.65u = -22 + 0
19.25 + -1.65u = -22

Add '-19.25' to each side of the equation.
19.25 + -19.25 + -1.65u = -22 + -19.25

Combine like terms: 19.25 + -19.25 = 0.00
0.00 + -1.65u = -22 + -19.25
-1.65u = -22 + -19.25

Combine like terms: -22 + -19.25 = -41.25
-1.65u = -41.25

Divide each side by '-1.65'.
u = 25

Simplifying
u = 25

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