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Simplifying 2u + -27 = 7(u + -6) Reorder the terms: -27 + 2u = 7(u + -6) Reorder the terms: -27 + 2u = 7(-6 + u) -27 + 2u = (-6 * 7 + u * 7) -27 + 2u = (-42 + 7u) Solving -27 + 2u = -42 + 7u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-7u' to each side of the equation. -27 + 2u + -7u = -42 + 7u + -7u Combine like terms: 2u + -7u = -5u -27 + -5u = -42 + 7u + -7u Combine like terms: 7u + -7u = 0 -27 + -5u = -42 + 0 -27 + -5u = -42 Add '27' to each side of the equation. -27 + 27 + -5u = -42 + 27 Combine like terms: -27 + 27 = 0 0 + -5u = -42 + 27 -5u = -42 + 27 Combine like terms: -42 + 27 = -15 -5u = -15 Divide each side by '-5'. u = 3 Simplifying u = 3
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