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Simplifying -4u + 37 = -7(u + -4) Reorder the terms: 37 + -4u = -7(u + -4) Reorder the terms: 37 + -4u = -7(-4 + u) 37 + -4u = (-4 * -7 + u * -7) 37 + -4u = (28 + -7u) Solving 37 + -4u = 28 + -7u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '7u' to each side of the equation. 37 + -4u + 7u = 28 + -7u + 7u Combine like terms: -4u + 7u = 3u 37 + 3u = 28 + -7u + 7u Combine like terms: -7u + 7u = 0 37 + 3u = 28 + 0 37 + 3u = 28 Add '-37' to each side of the equation. 37 + -37 + 3u = 28 + -37 Combine like terms: 37 + -37 = 0 0 + 3u = 28 + -37 3u = 28 + -37 Combine like terms: 28 + -37 = -9 3u = -9 Divide each side by '3'. u = -3 Simplifying u = -3
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