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Simplifying -30 = 7(u + -6) + -3u Reorder the terms: -30 = 7(-6 + u) + -3u -30 = (-6 * 7 + u * 7) + -3u -30 = (-42 + 7u) + -3u Combine like terms: 7u + -3u = 4u -30 = -42 + 4u Solving -30 = -42 + 4u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-4u' to each side of the equation. -30 + -4u = -42 + 4u + -4u Combine like terms: 4u + -4u = 0 -30 + -4u = -42 + 0 -30 + -4u = -42 Add '30' to each side of the equation. -30 + 30 + -4u = -42 + 30 Combine like terms: -30 + 30 = 0 0 + -4u = -42 + 30 -4u = -42 + 30 Combine like terms: -42 + 30 = -12 -4u = -12 Divide each side by '-4'. u = 3 Simplifying u = 3
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