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Simplifying 5(u + -3) + -9 = -3(-7u + 5) + -4u Reorder the terms: 5(-3 + u) + -9 = -3(-7u + 5) + -4u (-3 * 5 + u * 5) + -9 = -3(-7u + 5) + -4u (-15 + 5u) + -9 = -3(-7u + 5) + -4u Reorder the terms: -15 + -9 + 5u = -3(-7u + 5) + -4u Combine like terms: -15 + -9 = -24 -24 + 5u = -3(-7u + 5) + -4u Reorder the terms: -24 + 5u = -3(5 + -7u) + -4u -24 + 5u = (5 * -3 + -7u * -3) + -4u -24 + 5u = (-15 + 21u) + -4u Combine like terms: 21u + -4u = 17u -24 + 5u = -15 + 17u Solving -24 + 5u = -15 + 17u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-17u' to each side of the equation. -24 + 5u + -17u = -15 + 17u + -17u Combine like terms: 5u + -17u = -12u -24 + -12u = -15 + 17u + -17u Combine like terms: 17u + -17u = 0 -24 + -12u = -15 + 0 -24 + -12u = -15 Add '24' to each side of the equation. -24 + 24 + -12u = -15 + 24 Combine like terms: -24 + 24 = 0 0 + -12u = -15 + 24 -12u = -15 + 24 Combine like terms: -15 + 24 = 9 -12u = 9 Divide each side by '-12'. u = -0.75 Simplifying u = -0.75
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