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Simplifying 5(u + -3) + -2 = 10(3u) + 4(2u + 1) Reorder the terms: 5(-3 + u) + -2 = 10(3u) + 4(2u + 1) (-3 * 5 + u * 5) + -2 = 10(3u) + 4(2u + 1) (-15 + 5u) + -2 = 10(3u) + 4(2u + 1) Reorder the terms: -15 + -2 + 5u = 10(3u) + 4(2u + 1) Combine like terms: -15 + -2 = -17 -17 + 5u = 10(3u) + 4(2u + 1) Remove parenthesis around (3u) -17 + 5u = 10 * 3u + 4(2u + 1) Multiply 10 * 3 -17 + 5u = 30u + 4(2u + 1) Reorder the terms: -17 + 5u = 30u + 4(1 + 2u) -17 + 5u = 30u + (1 * 4 + 2u * 4) -17 + 5u = 30u + (4 + 8u) Reorder the terms: -17 + 5u = 4 + 30u + 8u Combine like terms: 30u + 8u = 38u -17 + 5u = 4 + 38u Solving -17 + 5u = 4 + 38u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-38u' to each side of the equation. -17 + 5u + -38u = 4 + 38u + -38u Combine like terms: 5u + -38u = -33u -17 + -33u = 4 + 38u + -38u Combine like terms: 38u + -38u = 0 -17 + -33u = 4 + 0 -17 + -33u = 4 Add '17' to each side of the equation. -17 + 17 + -33u = 4 + 17 Combine like terms: -17 + 17 = 0 0 + -33u = 4 + 17 -33u = 4 + 17 Combine like terms: 4 + 17 = 21 -33u = 21 Divide each side by '-33'. u = -0.6363636364 Simplifying u = -0.6363636364
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