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Simplifying 3u + 21 = -4(u + -7) Reorder the terms: 21 + 3u = -4(u + -7) Reorder the terms: 21 + 3u = -4(-7 + u) 21 + 3u = (-7 * -4 + u * -4) 21 + 3u = (28 + -4u) Solving 21 + 3u = 28 + -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. 21 + 3u + 4u = 28 + -4u + 4u Combine like terms: 3u + 4u = 7u 21 + 7u = 28 + -4u + 4u Combine like terms: -4u + 4u = 0 21 + 7u = 28 + 0 21 + 7u = 28 Add '-21' to each side of the equation. 21 + -21 + 7u = 28 + -21 Combine like terms: 21 + -21 = 0 0 + 7u = 28 + -21 7u = 28 + -21 Combine like terms: 28 + -21 = 7 7u = 7 Divide each side by '7'. u = 1 Simplifying u = 1
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