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Simplifying -4(u + 4) = 3(u + 4) + 7 Reorder the terms: -4(4 + u) = 3(u + 4) + 7 (4 * -4 + u * -4) = 3(u + 4) + 7 (-16 + -4u) = 3(u + 4) + 7 Reorder the terms: -16 + -4u = 3(4 + u) + 7 -16 + -4u = (4 * 3 + u * 3) + 7 -16 + -4u = (12 + 3u) + 7 Reorder the terms: -16 + -4u = 12 + 7 + 3u Combine like terms: 12 + 7 = 19 -16 + -4u = 19 + 3u Solving -16 + -4u = 19 + 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 = 19 + 3u + -3u Combine like terms: -4u + -3u = -7u -16 + -7u = 19 + 3u + -3u Combine like terms: 3u + -3u = 0 -16 + -7u = 19 + 0 -16 + -7u = 19 Add '16' to each side of the equation. -16 + 16 + -7u = 19 + 16 Combine like terms: -16 + 16 = 0 0 + -7u = 19 + 16 -7u = 19 + 16 Combine like terms: 19 + 16 = 35 -7u = 35 Divide each side by '-7'. u = -5 Simplifying u = -5
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