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Simplifying 3u + -46 = 7(u + -6) Reorder the terms: -46 + 3u = 7(u + -6) Reorder the terms: -46 + 3u = 7(-6 + u) -46 + 3u = (-6 * 7 + u * 7) -46 + 3u = (-42 + 7u) Solving -46 + 3u = -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. -46 + 3u + -7u = -42 + 7u + -7u Combine like terms: 3u + -7u = -4u -46 + -4u = -42 + 7u + -7u Combine like terms: 7u + -7u = 0 -46 + -4u = -42 + 0 -46 + -4u = -42 Add '46' to each side of the equation. -46 + 46 + -4u = -42 + 46 Combine like terms: -46 + 46 = 0 0 + -4u = -42 + 46 -4u = -42 + 46 Combine like terms: -42 + 46 = 4 -4u = 4 Divide each side by '-4'. u = -1 Simplifying u = -1
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