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Simplifying 7(u + -3) + -3 = -5(-4u + 8) + -7u Reorder the terms: 7(-3 + u) + -3 = -5(-4u + 8) + -7u (-3 * 7 + u * 7) + -3 = -5(-4u + 8) + -7u (-21 + 7u) + -3 = -5(-4u + 8) + -7u Reorder the terms: -21 + -3 + 7u = -5(-4u + 8) + -7u Combine like terms: -21 + -3 = -24 -24 + 7u = -5(-4u + 8) + -7u Reorder the terms: -24 + 7u = -5(8 + -4u) + -7u -24 + 7u = (8 * -5 + -4u * -5) + -7u -24 + 7u = (-40 + 20u) + -7u Combine like terms: 20u + -7u = 13u -24 + 7u = -40 + 13u Solving -24 + 7u = -40 + 13u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-13u' to each side of the equation. -24 + 7u + -13u = -40 + 13u + -13u Combine like terms: 7u + -13u = -6u -24 + -6u = -40 + 13u + -13u Combine like terms: 13u + -13u = 0 -24 + -6u = -40 + 0 -24 + -6u = -40 Add '24' to each side of the equation. -24 + 24 + -6u = -40 + 24 Combine like terms: -24 + 24 = 0 0 + -6u = -40 + 24 -6u = -40 + 24 Combine like terms: -40 + 24 = -16 -6u = -16 Divide each side by '-6'. u = 2.666666667 Simplifying u = 2.666666667
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