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Simplifying -2(-8u + 3) + -7u = 5(u + -1) + -7 Reorder the terms: -2(3 + -8u) + -7u = 5(u + -1) + -7 (3 * -2 + -8u * -2) + -7u = 5(u + -1) + -7 (-6 + 16u) + -7u = 5(u + -1) + -7 Combine like terms: 16u + -7u = 9u -6 + 9u = 5(u + -1) + -7 Reorder the terms: -6 + 9u = 5(-1 + u) + -7 -6 + 9u = (-1 * 5 + u * 5) + -7 -6 + 9u = (-5 + 5u) + -7 Reorder the terms: -6 + 9u = -5 + -7 + 5u Combine like terms: -5 + -7 = -12 -6 + 9u = -12 + 5u Solving -6 + 9u = -12 + 5u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-5u' to each side of the equation. -6 + 9u + -5u = -12 + 5u + -5u Combine like terms: 9u + -5u = 4u -6 + 4u = -12 + 5u + -5u Combine like terms: 5u + -5u = 0 -6 + 4u = -12 + 0 -6 + 4u = -12 Add '6' to each side of the equation. -6 + 6 + 4u = -12 + 6 Combine like terms: -6 + 6 = 0 0 + 4u = -12 + 6 4u = -12 + 6 Combine like terms: -12 + 6 = -6 4u = -6 Divide each side by '4'. u = -1.5 Simplifying u = -1.5
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