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Simplifying -2(-6u + 1) + -2u = 2(u + -4) + -8 Reorder the terms: -2(1 + -6u) + -2u = 2(u + -4) + -8 (1 * -2 + -6u * -2) + -2u = 2(u + -4) + -8 (-2 + 12u) + -2u = 2(u + -4) + -8 Combine like terms: 12u + -2u = 10u -2 + 10u = 2(u + -4) + -8 Reorder the terms: -2 + 10u = 2(-4 + u) + -8 -2 + 10u = (-4 * 2 + u * 2) + -8 -2 + 10u = (-8 + 2u) + -8 Reorder the terms: -2 + 10u = -8 + -8 + 2u Combine like terms: -8 + -8 = -16 -2 + 10u = -16 + 2u Solving -2 + 10u = -16 + 2u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-2u' to each side of the equation. -2 + 10u + -2u = -16 + 2u + -2u Combine like terms: 10u + -2u = 8u -2 + 8u = -16 + 2u + -2u Combine like terms: 2u + -2u = 0 -2 + 8u = -16 + 0 -2 + 8u = -16 Add '2' to each side of the equation. -2 + 2 + 8u = -16 + 2 Combine like terms: -2 + 2 = 0 0 + 8u = -16 + 2 8u = -16 + 2 Combine like terms: -16 + 2 = -14 8u = -14 Divide each side by '8'. u = -1.75 Simplifying u = -1.75
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