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Simplifying 9(c + 7) = 8(c + -2) Reorder the terms: 9(7 + c) = 8(c + -2) (7 * 9 + c * 9) = 8(c + -2) (63 + 9c) = 8(c + -2) Reorder the terms: 63 + 9c = 8(-2 + c) 63 + 9c = (-2 * 8 + c * 8) 63 + 9c = (-16 + 8c) Solving 63 + 9c = -16 + 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 = -16 + 8c + -8c Combine like terms: 9c + -8c = 1c 63 + 1c = -16 + 8c + -8c Combine like terms: 8c + -8c = 0 63 + 1c = -16 + 0 63 + 1c = -16 Add '-63' to each side of the equation. 63 + -63 + 1c = -16 + -63 Combine like terms: 63 + -63 = 0 0 + 1c = -16 + -63 1c = -16 + -63 Combine like terms: -16 + -63 = -79 1c = -79 Divide each side by '1'. c = -79 Simplifying c = -79
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