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Simplifying -4(u + 4) = 3u + 12 Reorder the terms: -4(4 + u) = 3u + 12 (4 * -4 + u * -4) = 3u + 12 (-16 + -4u) = 3u + 12 Reorder the terms: -16 + -4u = 12 + 3u Solving -16 + -4u = 12 + 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. -16 + -4u + -3u = 12 + 3u + -3u Combine like terms: -4u + -3u = -7u -16 + -7u = 12 + 3u + -3u Combine like terms: 3u + -3u = 0 -16 + -7u = 12 + 0 -16 + -7u = 12 Add '16' to each side of the equation. -16 + 16 + -7u = 12 + 16 Combine like terms: -16 + 16 = 0 0 + -7u = 12 + 16 -7u = 12 + 16 Combine like terms: 12 + 16 = 28 -7u = 28 Divide each side by '-7'. u = -4 Simplifying u = -4
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