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Simplifying 4c(12) + 15 = 6c + 57 Reorder the terms for easier multiplication: 4 * 12c + 15 = 6c + 57 Multiply 4 * 12 48c + 15 = 6c + 57 Reorder the terms: 15 + 48c = 6c + 57 Reorder the terms: 15 + 48c = 57 + 6c Solving 15 + 48c = 57 + 6c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-6c' to each side of the equation. 15 + 48c + -6c = 57 + 6c + -6c Combine like terms: 48c + -6c = 42c 15 + 42c = 57 + 6c + -6c Combine like terms: 6c + -6c = 0 15 + 42c = 57 + 0 15 + 42c = 57 Add '-15' to each side of the equation. 15 + -15 + 42c = 57 + -15 Combine like terms: 15 + -15 = 0 0 + 42c = 57 + -15 42c = 57 + -15 Combine like terms: 57 + -15 = 42 42c = 42 Divide each side by '42'. c = 1 Simplifying c = 1
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