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Simplifying 5(u + -5) + -7 = -3(-8u + 8) + -9u Reorder the terms: 5(-5 + u) + -7 = -3(-8u + 8) + -9u (-5 * 5 + u * 5) + -7 = -3(-8u + 8) + -9u (-25 + 5u) + -7 = -3(-8u + 8) + -9u Reorder the terms: -25 + -7 + 5u = -3(-8u + 8) + -9u Combine like terms: -25 + -7 = -32 -32 + 5u = -3(-8u + 8) + -9u Reorder the terms: -32 + 5u = -3(8 + -8u) + -9u -32 + 5u = (8 * -3 + -8u * -3) + -9u -32 + 5u = (-24 + 24u) + -9u Combine like terms: 24u + -9u = 15u -32 + 5u = -24 + 15u Solving -32 + 5u = -24 + 15u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-15u' to each side of the equation. -32 + 5u + -15u = -24 + 15u + -15u Combine like terms: 5u + -15u = -10u -32 + -10u = -24 + 15u + -15u Combine like terms: 15u + -15u = 0 -32 + -10u = -24 + 0 -32 + -10u = -24 Add '32' to each side of the equation. -32 + 32 + -10u = -24 + 32 Combine like terms: -32 + 32 = 0 0 + -10u = -24 + 32 -10u = -24 + 32 Combine like terms: -24 + 32 = 8 -10u = 8 Divide each side by '-10'. u = -0.8 Simplifying u = -0.8
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