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Simplifying 4(u + -4) + -7 = -3(-5u + 3) + -1u Reorder the terms: 4(-4 + u) + -7 = -3(-5u + 3) + -1u (-4 * 4 + u * 4) + -7 = -3(-5u + 3) + -1u (-16 + 4u) + -7 = -3(-5u + 3) + -1u Reorder the terms: -16 + -7 + 4u = -3(-5u + 3) + -1u Combine like terms: -16 + -7 = -23 -23 + 4u = -3(-5u + 3) + -1u Reorder the terms: -23 + 4u = -3(3 + -5u) + -1u -23 + 4u = (3 * -3 + -5u * -3) + -1u -23 + 4u = (-9 + 15u) + -1u Combine like terms: 15u + -1u = 14u -23 + 4u = -9 + 14u Solving -23 + 4u = -9 + 14u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-14u' to each side of the equation. -23 + 4u + -14u = -9 + 14u + -14u Combine like terms: 4u + -14u = -10u -23 + -10u = -9 + 14u + -14u Combine like terms: 14u + -14u = 0 -23 + -10u = -9 + 0 -23 + -10u = -9 Add '23' to each side of the equation. -23 + 23 + -10u = -9 + 23 Combine like terms: -23 + 23 = 0 0 + -10u = -9 + 23 -10u = -9 + 23 Combine like terms: -9 + 23 = 14 -10u = 14 Divide each side by '-10'. u = -1.4 Simplifying u = -1.4
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