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Simplifying -4(-6u + 7) + -8u = 2(u + -4) + -4 Reorder the terms: -4(7 + -6u) + -8u = 2(u + -4) + -4 (7 * -4 + -6u * -4) + -8u = 2(u + -4) + -4 (-28 + 24u) + -8u = 2(u + -4) + -4 Combine like terms: 24u + -8u = 16u -28 + 16u = 2(u + -4) + -4 Reorder the terms: -28 + 16u = 2(-4 + u) + -4 -28 + 16u = (-4 * 2 + u * 2) + -4 -28 + 16u = (-8 + 2u) + -4 Reorder the terms: -28 + 16u = -8 + -4 + 2u Combine like terms: -8 + -4 = -12 -28 + 16u = -12 + 2u Solving -28 + 16u = -12 + 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. -28 + 16u + -2u = -12 + 2u + -2u Combine like terms: 16u + -2u = 14u -28 + 14u = -12 + 2u + -2u Combine like terms: 2u + -2u = 0 -28 + 14u = -12 + 0 -28 + 14u = -12 Add '28' to each side of the equation. -28 + 28 + 14u = -12 + 28 Combine like terms: -28 + 28 = 0 0 + 14u = -12 + 28 14u = -12 + 28 Combine like terms: -12 + 28 = 16 14u = 16 Divide each side by '14'. u = 1.142857143 Simplifying u = 1.142857143
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