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Simplifying 12c + 4 = 2(5c + 8) + -12 Reorder the terms: 4 + 12c = 2(5c + 8) + -12 Reorder the terms: 4 + 12c = 2(8 + 5c) + -12 4 + 12c = (8 * 2 + 5c * 2) + -12 4 + 12c = (16 + 10c) + -12 Reorder the terms: 4 + 12c = 16 + -12 + 10c Combine like terms: 16 + -12 = 4 4 + 12c = 4 + 10c Add '-4' to each side of the equation. 4 + -4 + 12c = 4 + -4 + 10c Combine like terms: 4 + -4 = 0 0 + 12c = 4 + -4 + 10c 12c = 4 + -4 + 10c Combine like terms: 4 + -4 = 0 12c = 0 + 10c 12c = 10c Solving 12c = 10c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-10c' to each side of the equation. 12c + -10c = 10c + -10c Combine like terms: 12c + -10c = 2c 2c = 10c + -10c Combine like terms: 10c + -10c = 0 2c = 0 Divide each side by '2'. c = 0 Simplifying c = 0
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