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Simplifying -5(-2u + 4) + -7u = 7(u + -2) + -8 Reorder the terms: -5(4 + -2u) + -7u = 7(u + -2) + -8 (4 * -5 + -2u * -5) + -7u = 7(u + -2) + -8 (-20 + 10u) + -7u = 7(u + -2) + -8 Combine like terms: 10u + -7u = 3u -20 + 3u = 7(u + -2) + -8 Reorder the terms: -20 + 3u = 7(-2 + u) + -8 -20 + 3u = (-2 * 7 + u * 7) + -8 -20 + 3u = (-14 + 7u) + -8 Reorder the terms: -20 + 3u = -14 + -8 + 7u Combine like terms: -14 + -8 = -22 -20 + 3u = -22 + 7u Solving -20 + 3u = -22 + 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. -20 + 3u + -7u = -22 + 7u + -7u Combine like terms: 3u + -7u = -4u -20 + -4u = -22 + 7u + -7u Combine like terms: 7u + -7u = 0 -20 + -4u = -22 + 0 -20 + -4u = -22 Add '20' to each side of the equation. -20 + 20 + -4u = -22 + 20 Combine like terms: -20 + 20 = 0 0 + -4u = -22 + 20 -4u = -22 + 20 Combine like terms: -22 + 20 = -2 -4u = -2 Divide each side by '-4'. u = 0.5 Simplifying u = 0.5
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