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Simplifying 4(u + -1) = 6u + 4 + -3(-2u + -2) Reorder the terms: 4(-1 + u) = 6u + 4 + -3(-2u + -2) (-1 * 4 + u * 4) = 6u + 4 + -3(-2u + -2) (-4 + 4u) = 6u + 4 + -3(-2u + -2) Reorder the terms: -4 + 4u = 6u + 4 + -3(-2 + -2u) -4 + 4u = 6u + 4 + (-2 * -3 + -2u * -3) -4 + 4u = 6u + 4 + (6 + 6u) Reorder the terms: -4 + 4u = 4 + 6 + 6u + 6u Combine like terms: 4 + 6 = 10 -4 + 4u = 10 + 6u + 6u Combine like terms: 6u + 6u = 12u -4 + 4u = 10 + 12u Solving -4 + 4u = 10 + 12u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-12u' to each side of the equation. -4 + 4u + -12u = 10 + 12u + -12u Combine like terms: 4u + -12u = -8u -4 + -8u = 10 + 12u + -12u Combine like terms: 12u + -12u = 0 -4 + -8u = 10 + 0 -4 + -8u = 10 Add '4' to each side of the equation. -4 + 4 + -8u = 10 + 4 Combine like terms: -4 + 4 = 0 0 + -8u = 10 + 4 -8u = 10 + 4 Combine like terms: 10 + 4 = 14 -8u = 14 Divide each side by '-8'. u = -1.75 Simplifying u = -1.75
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