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Simplifying 3(u + -3) + -5 = -4(-4u + 5) + -1u Reorder the terms: 3(-3 + u) + -5 = -4(-4u + 5) + -1u (-3 * 3 + u * 3) + -5 = -4(-4u + 5) + -1u (-9 + 3u) + -5 = -4(-4u + 5) + -1u Reorder the terms: -9 + -5 + 3u = -4(-4u + 5) + -1u Combine like terms: -9 + -5 = -14 -14 + 3u = -4(-4u + 5) + -1u Reorder the terms: -14 + 3u = -4(5 + -4u) + -1u -14 + 3u = (5 * -4 + -4u * -4) + -1u -14 + 3u = (-20 + 16u) + -1u Combine like terms: 16u + -1u = 15u -14 + 3u = -20 + 15u Solving -14 + 3u = -20 + 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. -14 + 3u + -15u = -20 + 15u + -15u Combine like terms: 3u + -15u = -12u -14 + -12u = -20 + 15u + -15u Combine like terms: 15u + -15u = 0 -14 + -12u = -20 + 0 -14 + -12u = -20 Add '14' to each side of the equation. -14 + 14 + -12u = -20 + 14 Combine like terms: -14 + 14 = 0 0 + -12u = -20 + 14 -12u = -20 + 14 Combine like terms: -20 + 14 = -6 -12u = -6 Divide each side by '-12'. u = 0.5 Simplifying u = 0.5
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