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Simplifying 21 + 3c + -7(2 + -3c) = 4(c + -5) + 3c + 27 21 + 3c + (2 * -7 + -3c * -7) = 4(c + -5) + 3c + 27 21 + 3c + (-14 + 21c) = 4(c + -5) + 3c + 27 Reorder the terms: 21 + -14 + 3c + 21c = 4(c + -5) + 3c + 27 Combine like terms: 21 + -14 = 7 7 + 3c + 21c = 4(c + -5) + 3c + 27 Combine like terms: 3c + 21c = 24c 7 + 24c = 4(c + -5) + 3c + 27 Reorder the terms: 7 + 24c = 4(-5 + c) + 3c + 27 7 + 24c = (-5 * 4 + c * 4) + 3c + 27 7 + 24c = (-20 + 4c) + 3c + 27 Reorder the terms: 7 + 24c = -20 + 27 + 4c + 3c Combine like terms: -20 + 27 = 7 7 + 24c = 7 + 4c + 3c Combine like terms: 4c + 3c = 7c 7 + 24c = 7 + 7c Add '-7' to each side of the equation. 7 + -7 + 24c = 7 + -7 + 7c Combine like terms: 7 + -7 = 0 0 + 24c = 7 + -7 + 7c 24c = 7 + -7 + 7c Combine like terms: 7 + -7 = 0 24c = 0 + 7c 24c = 7c Solving 24c = 7c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-7c' to each side of the equation. 24c + -7c = 7c + -7c Combine like terms: 24c + -7c = 17c 17c = 7c + -7c Combine like terms: 7c + -7c = 0 17c = 0 Divide each side by '17'. c = 0 Simplifying c = 0
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