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Simplifying -3(u + 5) + 2 = 4(u + 2) Reorder the terms: -3(5 + u) + 2 = 4(u + 2) (5 * -3 + u * -3) + 2 = 4(u + 2) (-15 + -3u) + 2 = 4(u + 2) Reorder the terms: -15 + 2 + -3u = 4(u + 2) Combine like terms: -15 + 2 = -13 -13 + -3u = 4(u + 2) Reorder the terms: -13 + -3u = 4(2 + u) -13 + -3u = (2 * 4 + u * 4) -13 + -3u = (8 + 4u) Solving -13 + -3u = 8 + 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. -13 + -3u + -4u = 8 + 4u + -4u Combine like terms: -3u + -4u = -7u -13 + -7u = 8 + 4u + -4u Combine like terms: 4u + -4u = 0 -13 + -7u = 8 + 0 -13 + -7u = 8 Add '13' to each side of the equation. -13 + 13 + -7u = 8 + 13 Combine like terms: -13 + 13 = 0 0 + -7u = 8 + 13 -7u = 8 + 13 Combine like terms: 8 + 13 = 21 -7u = 21 Divide each side by '-7'. u = -3 Simplifying u = -3
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