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Simplifying -7(-4u + 2) + -8u = 6(u + -4) + -6 Reorder the terms: -7(2 + -4u) + -8u = 6(u + -4) + -6 (2 * -7 + -4u * -7) + -8u = 6(u + -4) + -6 (-14 + 28u) + -8u = 6(u + -4) + -6 Combine like terms: 28u + -8u = 20u -14 + 20u = 6(u + -4) + -6 Reorder the terms: -14 + 20u = 6(-4 + u) + -6 -14 + 20u = (-4 * 6 + u * 6) + -6 -14 + 20u = (-24 + 6u) + -6 Reorder the terms: -14 + 20u = -24 + -6 + 6u Combine like terms: -24 + -6 = -30 -14 + 20u = -30 + 6u Solving -14 + 20u = -30 + 6u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-6u' to each side of the equation. -14 + 20u + -6u = -30 + 6u + -6u Combine like terms: 20u + -6u = 14u -14 + 14u = -30 + 6u + -6u Combine like terms: 6u + -6u = 0 -14 + 14u = -30 + 0 -14 + 14u = -30 Add '14' to each side of the equation. -14 + 14 + 14u = -30 + 14 Combine like terms: -14 + 14 = 0 0 + 14u = -30 + 14 14u = -30 + 14 Combine like terms: -30 + 14 = -16 14u = -16 Divide each side by '14'. u = -1.142857143 Simplifying u = -1.142857143
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