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Simplifying 4(u + -2) = 2u + 3 + -4(-3u + -1) Reorder the terms: 4(-2 + u) = 2u + 3 + -4(-3u + -1) (-2 * 4 + u * 4) = 2u + 3 + -4(-3u + -1) (-8 + 4u) = 2u + 3 + -4(-3u + -1) Reorder the terms: -8 + 4u = 2u + 3 + -4(-1 + -3u) -8 + 4u = 2u + 3 + (-1 * -4 + -3u * -4) -8 + 4u = 2u + 3 + (4 + 12u) Reorder the terms: -8 + 4u = 3 + 4 + 2u + 12u Combine like terms: 3 + 4 = 7 -8 + 4u = 7 + 2u + 12u Combine like terms: 2u + 12u = 14u -8 + 4u = 7 + 14u Solving -8 + 4u = 7 + 14u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-14u' to each side of the equation. -8 + 4u + -14u = 7 + 14u + -14u Combine like terms: 4u + -14u = -10u -8 + -10u = 7 + 14u + -14u Combine like terms: 14u + -14u = 0 -8 + -10u = 7 + 0 -8 + -10u = 7 Add '8' to each side of the equation. -8 + 8 + -10u = 7 + 8 Combine like terms: -8 + 8 = 0 0 + -10u = 7 + 8 -10u = 7 + 8 Combine like terms: 7 + 8 = 15 -10u = 15 Divide each side by '-10'. u = -1.5 Simplifying u = -1.5
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