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Simplifying 7u + 40 = (-9)(u + 8) Reorder the terms: 40 + 7u = (-9)(u + 8) Reorder the terms: 40 + 7u = -9(8 + u) 40 + 7u = (8 * -9 + u * -9) 40 + 7u = (-72 + -9u) Solving 40 + 7u = -72 + -9u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '9u' to each side of the equation. 40 + 7u + 9u = -72 + -9u + 9u Combine like terms: 7u + 9u = 16u 40 + 16u = -72 + -9u + 9u Combine like terms: -9u + 9u = 0 40 + 16u = -72 + 0 40 + 16u = -72 Add '-40' to each side of the equation. 40 + -40 + 16u = -72 + -40 Combine like terms: 40 + -40 = 0 0 + 16u = -72 + -40 16u = -72 + -40 Combine like terms: -72 + -40 = -112 16u = -112 Divide each side by '16'. u = -7 Simplifying u = -7
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