40=19*(2-5u)-5(9u-11.6)

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Solution for 40=19*(2-5u)-5(9u-11.6) equation: 


Simplifying
40 = 19(2 + -5u) + -5(9u + -11.6)
40 = (2 * 19 + -5u * 19) + -5(9u + -11.6)
40 = (38 + -95u) + -5(9u + -11.6)

Reorder the terms:
40 = 38 + -95u + -5(-11.6 + 9u)
40 = 38 + -95u + (-11.6 * -5 + 9u * -5)
40 = 38 + -95u + (58 + -45u)

Reorder the terms:
40 = 38 + 58 + -95u + -45u

Combine like terms: 38 + 58 = 96
40 = 96 + -95u + -45u

Combine like terms: -95u + -45u = -140u
40 = 96 + -140u

Solving
40 = 96 + -140u

Solving for variable 'u'.

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

Add '140u' to each side of the equation.
40 + 140u = 96 + -140u + 140u

Combine like terms: -140u + 140u = 0
40 + 140u = 96 + 0
40 + 140u = 96

Add '-40' to each side of the equation.
40 + -40 + 140u = 96 + -40

Combine like terms: 40 + -40 = 0
0 + 140u = 96 + -40
140u = 96 + -40

Combine like terms: 96 + -40 = 56
140u = 56

Divide each side by '140'.
u = 0.4

Simplifying
u = 0.4

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