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Simplifying 3c + 9 = 6(1c + 9) Reorder the terms: 9 + 3c = 6(1c + 9) Reorder the terms: 9 + 3c = 6(9 + 1c) 9 + 3c = (9 * 6 + 1c * 6) 9 + 3c = (54 + 6c) Solving 9 + 3c = 54 + 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. 9 + 3c + -6c = 54 + 6c + -6c Combine like terms: 3c + -6c = -3c 9 + -3c = 54 + 6c + -6c Combine like terms: 6c + -6c = 0 9 + -3c = 54 + 0 9 + -3c = 54 Add '-9' to each side of the equation. 9 + -9 + -3c = 54 + -9 Combine like terms: 9 + -9 = 0 0 + -3c = 54 + -9 -3c = 54 + -9 Combine like terms: 54 + -9 = 45 -3c = 45 Divide each side by '-3'. c = -15 Simplifying c = -15
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