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Simplifying 7(-3u + -16) = 6u + -3u + 8 Reorder the terms: 7(-16 + -3u) = 6u + -3u + 8 (-16 * 7 + -3u * 7) = 6u + -3u + 8 (-112 + -21u) = 6u + -3u + 8 Reorder the terms: -112 + -21u = 8 + 6u + -3u Combine like terms: 6u + -3u = 3u -112 + -21u = 8 + 3u Solving -112 + -21u = 8 + 3u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-3u' to each side of the equation. -112 + -21u + -3u = 8 + 3u + -3u Combine like terms: -21u + -3u = -24u -112 + -24u = 8 + 3u + -3u Combine like terms: 3u + -3u = 0 -112 + -24u = 8 + 0 -112 + -24u = 8 Add '112' to each side of the equation. -112 + 112 + -24u = 8 + 112 Combine like terms: -112 + 112 = 0 0 + -24u = 8 + 112 -24u = 8 + 112 Combine like terms: 8 + 112 = 120 -24u = 120 Divide each side by '-24'. u = -5 Simplifying u = -5
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