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Simplifying 8u + -31 = -5(2 + -3u) Reorder the terms: -31 + 8u = -5(2 + -3u) -31 + 8u = (2 * -5 + -3u * -5) -31 + 8u = (-10 + 15u) Solving -31 + 8u = -10 + 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. -31 + 8u + -15u = -10 + 15u + -15u Combine like terms: 8u + -15u = -7u -31 + -7u = -10 + 15u + -15u Combine like terms: 15u + -15u = 0 -31 + -7u = -10 + 0 -31 + -7u = -10 Add '31' to each side of the equation. -31 + 31 + -7u = -10 + 31 Combine like terms: -31 + 31 = 0 0 + -7u = -10 + 31 -7u = -10 + 31 Combine like terms: -10 + 31 = 21 -7u = 21 Divide each side by '-7'. u = -3 Simplifying u = -3
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