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Simplifying 21 + 36c + 2(6c + -3) = 6(2c + 1) Reorder the terms: 21 + 36c + 2(-3 + 6c) = 6(2c + 1) 21 + 36c + (-3 * 2 + 6c * 2) = 6(2c + 1) 21 + 36c + (-6 + 12c) = 6(2c + 1) Reorder the terms: 21 + -6 + 36c + 12c = 6(2c + 1) Combine like terms: 21 + -6 = 15 15 + 36c + 12c = 6(2c + 1) Combine like terms: 36c + 12c = 48c 15 + 48c = 6(2c + 1) Reorder the terms: 15 + 48c = 6(1 + 2c) 15 + 48c = (1 * 6 + 2c * 6) 15 + 48c = (6 + 12c) Solving 15 + 48c = 6 + 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. 15 + 48c + -12c = 6 + 12c + -12c Combine like terms: 48c + -12c = 36c 15 + 36c = 6 + 12c + -12c Combine like terms: 12c + -12c = 0 15 + 36c = 6 + 0 15 + 36c = 6 Add '-15' to each side of the equation. 15 + -15 + 36c = 6 + -15 Combine like terms: 15 + -15 = 0 0 + 36c = 6 + -15 36c = 6 + -15 Combine like terms: 6 + -15 = -9 36c = -9 Divide each side by '36'. c = -0.25 Simplifying c = -0.25
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