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Simplifying 8 = 3(u + -4) + -7u Reorder the terms: 8 = 3(-4 + u) + -7u 8 = (-4 * 3 + u * 3) + -7u 8 = (-12 + 3u) + -7u Combine like terms: 3u + -7u = -4u 8 = -12 + -4u Solving 8 = -12 + -4u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '4u' to each side of the equation. 8 + 4u = -12 + -4u + 4u Combine like terms: -4u + 4u = 0 8 + 4u = -12 + 0 8 + 4u = -12 Add '-8' to each side of the equation. 8 + -8 + 4u = -12 + -8 Combine like terms: 8 + -8 = 0 0 + 4u = -12 + -8 4u = -12 + -8 Combine like terms: -12 + -8 = -20 4u = -20 Divide each side by '4'. u = -5 Simplifying u = -5
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