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Simplifying 9u + -29 = 7(u + -3) Reorder the terms: -29 + 9u = 7(u + -3) Reorder the terms: -29 + 9u = 7(-3 + u) -29 + 9u = (-3 * 7 + u * 7) -29 + 9u = (-21 + 7u) Solving -29 + 9u = -21 + 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. -29 + 9u + -7u = -21 + 7u + -7u Combine like terms: 9u + -7u = 2u -29 + 2u = -21 + 7u + -7u Combine like terms: 7u + -7u = 0 -29 + 2u = -21 + 0 -29 + 2u = -21 Add '29' to each side of the equation. -29 + 29 + 2u = -21 + 29 Combine like terms: -29 + 29 = 0 0 + 2u = -21 + 29 2u = -21 + 29 Combine like terms: -21 + 29 = 8 2u = 8 Divide each side by '2'. u = 4 Simplifying u = 4
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