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Simplifying 3(u + -3) + -7 = -4(-5u + 3) + -5u Reorder the terms: 3(-3 + u) + -7 = -4(-5u + 3) + -5u (-3 * 3 + u * 3) + -7 = -4(-5u + 3) + -5u (-9 + 3u) + -7 = -4(-5u + 3) + -5u Reorder the terms: -9 + -7 + 3u = -4(-5u + 3) + -5u Combine like terms: -9 + -7 = -16 -16 + 3u = -4(-5u + 3) + -5u Reorder the terms: -16 + 3u = -4(3 + -5u) + -5u -16 + 3u = (3 * -4 + -5u * -4) + -5u -16 + 3u = (-12 + 20u) + -5u Combine like terms: 20u + -5u = 15u -16 + 3u = -12 + 15u Solving -16 + 3u = -12 + 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. -16 + 3u + -15u = -12 + 15u + -15u Combine like terms: 3u + -15u = -12u -16 + -12u = -12 + 15u + -15u Combine like terms: 15u + -15u = 0 -16 + -12u = -12 + 0 -16 + -12u = -12 Add '16' to each side of the equation. -16 + 16 + -12u = -12 + 16 Combine like terms: -16 + 16 = 0 0 + -12u = -12 + 16 -12u = -12 + 16 Combine like terms: -12 + 16 = 4 -12u = 4 Divide each side by '-12'. u = -0.3333333333 Simplifying u = -0.3333333333
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