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Simplifying -7(u + 6) = 5u + -30 Reorder the terms: -7(6 + u) = 5u + -30 (6 * -7 + u * -7) = 5u + -30 (-42 + -7u) = 5u + -30 Reorder the terms: -42 + -7u = -30 + 5u Solving -42 + -7u = -30 + 5u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-5u' to each side of the equation. -42 + -7u + -5u = -30 + 5u + -5u Combine like terms: -7u + -5u = -12u -42 + -12u = -30 + 5u + -5u Combine like terms: 5u + -5u = 0 -42 + -12u = -30 + 0 -42 + -12u = -30 Add '42' to each side of the equation. -42 + 42 + -12u = -30 + 42 Combine like terms: -42 + 42 = 0 0 + -12u = -30 + 42 -12u = -30 + 42 Combine like terms: -30 + 42 = 12 -12u = 12 Divide each side by '-12'. u = -1 Simplifying u = -1
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