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Simplifying -7u + -27 = 8(u + 6) Reorder the terms: -27 + -7u = 8(u + 6) Reorder the terms: -27 + -7u = 8(6 + u) -27 + -7u = (6 * 8 + u * 8) -27 + -7u = (48 + 8u) Solving -27 + -7u = 48 + 8u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-8u' to each side of the equation. -27 + -7u + -8u = 48 + 8u + -8u Combine like terms: -7u + -8u = -15u -27 + -15u = 48 + 8u + -8u Combine like terms: 8u + -8u = 0 -27 + -15u = 48 + 0 -27 + -15u = 48 Add '27' to each side of the equation. -27 + 27 + -15u = 48 + 27 Combine like terms: -27 + 27 = 0 0 + -15u = 48 + 27 -15u = 48 + 27 Combine like terms: 48 + 27 = 75 -15u = 75 Divide each side by '-15'. u = -5 Simplifying u = -5
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