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Simplifying 6(u + -4) + -2 = -2(-9u + 7) + -2u Reorder the terms: 6(-4 + u) + -2 = -2(-9u + 7) + -2u (-4 * 6 + u * 6) + -2 = -2(-9u + 7) + -2u (-24 + 6u) + -2 = -2(-9u + 7) + -2u Reorder the terms: -24 + -2 + 6u = -2(-9u + 7) + -2u Combine like terms: -24 + -2 = -26 -26 + 6u = -2(-9u + 7) + -2u Reorder the terms: -26 + 6u = -2(7 + -9u) + -2u -26 + 6u = (7 * -2 + -9u * -2) + -2u -26 + 6u = (-14 + 18u) + -2u Combine like terms: 18u + -2u = 16u -26 + 6u = -14 + 16u Solving -26 + 6u = -14 + 16u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-16u' to each side of the equation. -26 + 6u + -16u = -14 + 16u + -16u Combine like terms: 6u + -16u = -10u -26 + -10u = -14 + 16u + -16u Combine like terms: 16u + -16u = 0 -26 + -10u = -14 + 0 -26 + -10u = -14 Add '26' to each side of the equation. -26 + 26 + -10u = -14 + 26 Combine like terms: -26 + 26 = 0 0 + -10u = -14 + 26 -10u = -14 + 26 Combine like terms: -14 + 26 = 12 -10u = 12 Divide each side by '-10'. u = -1.2 Simplifying u = -1.2
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