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Simplifying -7u + 8 = -4(u + 4) Reorder the terms: 8 + -7u = -4(u + 4) Reorder the terms: 8 + -7u = -4(4 + u) 8 + -7u = (4 * -4 + u * -4) 8 + -7u = (-16 + -4u) Solving 8 + -7u = -16 + -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 + -7u + 4u = -16 + -4u + 4u Combine like terms: -7u + 4u = -3u 8 + -3u = -16 + -4u + 4u Combine like terms: -4u + 4u = 0 8 + -3u = -16 + 0 8 + -3u = -16 Add '-8' to each side of the equation. 8 + -8 + -3u = -16 + -8 Combine like terms: 8 + -8 = 0 0 + -3u = -16 + -8 -3u = -16 + -8 Combine like terms: -16 + -8 = -24 -3u = -24 Divide each side by '-3'. u = 8 Simplifying u = 8
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