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Simplifying -4u + -30 = -7(u + 6) Reorder the terms: -30 + -4u = -7(u + 6) Reorder the terms: -30 + -4u = -7(6 + u) -30 + -4u = (6 * -7 + u * -7) -30 + -4u = (-42 + -7u) Solving -30 + -4u = -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. -30 + -4u + 7u = -42 + -7u + 7u Combine like terms: -4u + 7u = 3u -30 + 3u = -42 + -7u + 7u Combine like terms: -7u + 7u = 0 -30 + 3u = -42 + 0 -30 + 3u = -42 Add '30' to each side of the equation. -30 + 30 + 3u = -42 + 30 Combine like terms: -30 + 30 = 0 0 + 3u = -42 + 30 3u = -42 + 30 Combine like terms: -42 + 30 = -12 3u = -12 Divide each side by '3'. u = -4 Simplifying u = -4
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