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Simplifying 9(c + 7) = 8c + -9 Reorder the terms: 9(7 + c) = 8c + -9 (7 * 9 + c * 9) = 8c + -9 (63 + 9c) = 8c + -9 Reorder the terms: 63 + 9c = -9 + 8c Solving 63 + 9c = -9 + 8c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-8c' to each side of the equation. 63 + 9c + -8c = -9 + 8c + -8c Combine like terms: 9c + -8c = 1c 63 + 1c = -9 + 8c + -8c Combine like terms: 8c + -8c = 0 63 + 1c = -9 + 0 63 + 1c = -9 Add '-63' to each side of the equation. 63 + -63 + 1c = -9 + -63 Combine like terms: 63 + -63 = 0 0 + 1c = -9 + -63 1c = -9 + -63 Combine like terms: -9 + -63 = -72 1c = -72 Divide each side by '1'. c = -72 Simplifying c = -72
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