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Simplifying -32 = -7u + 4(u + -2) Reorder the terms: -32 = -7u + 4(-2 + u) -32 = -7u + (-2 * 4 + u * 4) -32 = -7u + (-8 + 4u) Reorder the terms: -32 = -8 + -7u + 4u Combine like terms: -7u + 4u = -3u -32 = -8 + -3u Solving -32 = -8 + -3u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '3u' to each side of the equation. -32 + 3u = -8 + -3u + 3u Combine like terms: -3u + 3u = 0 -32 + 3u = -8 + 0 -32 + 3u = -8 Add '32' to each side of the equation. -32 + 32 + 3u = -8 + 32 Combine like terms: -32 + 32 = 0 0 + 3u = -8 + 32 3u = -8 + 32 Combine like terms: -8 + 32 = 24 3u = 24 Divide each side by '3'. u = 8 Simplifying u = 8
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