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Simplifying 3(u + -5) + -7 = -2(-8u + 8) + -3u Reorder the terms: 3(-5 + u) + -7 = -2(-8u + 8) + -3u (-5 * 3 + u * 3) + -7 = -2(-8u + 8) + -3u (-15 + 3u) + -7 = -2(-8u + 8) + -3u Reorder the terms: -15 + -7 + 3u = -2(-8u + 8) + -3u Combine like terms: -15 + -7 = -22 -22 + 3u = -2(-8u + 8) + -3u Reorder the terms: -22 + 3u = -2(8 + -8u) + -3u -22 + 3u = (8 * -2 + -8u * -2) + -3u -22 + 3u = (-16 + 16u) + -3u Combine like terms: 16u + -3u = 13u -22 + 3u = -16 + 13u Solving -22 + 3u = -16 + 13u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-13u' to each side of the equation. -22 + 3u + -13u = -16 + 13u + -13u Combine like terms: 3u + -13u = -10u -22 + -10u = -16 + 13u + -13u Combine like terms: 13u + -13u = 0 -22 + -10u = -16 + 0 -22 + -10u = -16 Add '22' to each side of the equation. -22 + 22 + -10u = -16 + 22 Combine like terms: -22 + 22 = 0 0 + -10u = -16 + 22 -10u = -16 + 22 Combine like terms: -16 + 22 = 6 -10u = 6 Divide each side by '-10'. u = -0.6 Simplifying u = -0.6
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