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Simplifying 2(8c + 16) = 9(6c + 12) + -19c Reorder the terms: 2(16 + 8c) = 9(6c + 12) + -19c (16 * 2 + 8c * 2) = 9(6c + 12) + -19c (32 + 16c) = 9(6c + 12) + -19c Reorder the terms: 32 + 16c = 9(12 + 6c) + -19c 32 + 16c = (12 * 9 + 6c * 9) + -19c 32 + 16c = (108 + 54c) + -19c Combine like terms: 54c + -19c = 35c 32 + 16c = 108 + 35c Solving 32 + 16c = 108 + 35c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-35c' to each side of the equation. 32 + 16c + -35c = 108 + 35c + -35c Combine like terms: 16c + -35c = -19c 32 + -19c = 108 + 35c + -35c Combine like terms: 35c + -35c = 0 32 + -19c = 108 + 0 32 + -19c = 108 Add '-32' to each side of the equation. 32 + -32 + -19c = 108 + -32 Combine like terms: 32 + -32 = 0 0 + -19c = 108 + -32 -19c = 108 + -32 Combine like terms: 108 + -32 = 76 -19c = 76 Divide each side by '-19'. c = -4 Simplifying c = -4
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