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Simplifying (9 + 22) * 9 = (12 + c) * 12 Combine like terms: 9 + 22 = 31 (31) * 9 = (12 + c) * 12 Multiply 31 * 9 279 = (12 + c) * 12 Reorder the terms for easier multiplication: 279 = 12(12 + c) 279 = (12 * 12 + c * 12) 279 = (144 + 12c) Solving 279 = 144 + 12c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-12c' to each side of the equation. 279 + -12c = 144 + 12c + -12c Combine like terms: 12c + -12c = 0 279 + -12c = 144 + 0 279 + -12c = 144 Add '-279' to each side of the equation. 279 + -279 + -12c = 144 + -279 Combine like terms: 279 + -279 = 0 0 + -12c = 144 + -279 -12c = 144 + -279 Combine like terms: 144 + -279 = -135 -12c = -135 Divide each side by '-12'. c = 11.25 Simplifying c = 11.25
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