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Simplifying 5(u + -6) + -2 = -2(-8u + 7) + -3u Reorder the terms: 5(-6 + u) + -2 = -2(-8u + 7) + -3u (-6 * 5 + u * 5) + -2 = -2(-8u + 7) + -3u (-30 + 5u) + -2 = -2(-8u + 7) + -3u Reorder the terms: -30 + -2 + 5u = -2(-8u + 7) + -3u Combine like terms: -30 + -2 = -32 -32 + 5u = -2(-8u + 7) + -3u Reorder the terms: -32 + 5u = -2(7 + -8u) + -3u -32 + 5u = (7 * -2 + -8u * -2) + -3u -32 + 5u = (-14 + 16u) + -3u Combine like terms: 16u + -3u = 13u -32 + 5u = -14 + 13u Solving -32 + 5u = -14 + 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. -32 + 5u + -13u = -14 + 13u + -13u Combine like terms: 5u + -13u = -8u -32 + -8u = -14 + 13u + -13u Combine like terms: 13u + -13u = 0 -32 + -8u = -14 + 0 -32 + -8u = -14 Add '32' to each side of the equation. -32 + 32 + -8u = -14 + 32 Combine like terms: -32 + 32 = 0 0 + -8u = -14 + 32 -8u = -14 + 32 Combine like terms: -14 + 32 = 18 -8u = 18 Divide each side by '-8'. u = -2.25 Simplifying u = -2.25
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