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Simplifying 3(u + -1) = 3u + 7 + -2(-2u + -4) Reorder the terms: 3(-1 + u) = 3u + 7 + -2(-2u + -4) (-1 * 3 + u * 3) = 3u + 7 + -2(-2u + -4) (-3 + 3u) = 3u + 7 + -2(-2u + -4) Reorder the terms: -3 + 3u = 3u + 7 + -2(-4 + -2u) -3 + 3u = 3u + 7 + (-4 * -2 + -2u * -2) -3 + 3u = 3u + 7 + (8 + 4u) Reorder the terms: -3 + 3u = 7 + 8 + 3u + 4u Combine like terms: 7 + 8 = 15 -3 + 3u = 15 + 3u + 4u Combine like terms: 3u + 4u = 7u -3 + 3u = 15 + 7u Solving -3 + 3u = 15 + 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. -3 + 3u + -7u = 15 + 7u + -7u Combine like terms: 3u + -7u = -4u -3 + -4u = 15 + 7u + -7u Combine like terms: 7u + -7u = 0 -3 + -4u = 15 + 0 -3 + -4u = 15 Add '3' to each side of the equation. -3 + 3 + -4u = 15 + 3 Combine like terms: -3 + 3 = 0 0 + -4u = 15 + 3 -4u = 15 + 3 Combine like terms: 15 + 3 = 18 -4u = 18 Divide each side by '-4'. u = -4.5 Simplifying u = -4.5
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