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Simplifying c + 20 = 3(c + -14) Reorder the terms: 20 + c = 3(c + -14) Reorder the terms: 20 + c = 3(-14 + c) 20 + c = (-14 * 3 + c * 3) 20 + c = (-42 + 3c) Solving 20 + c = -42 + 3c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-3c' to each side of the equation. 20 + c + -3c = -42 + 3c + -3c Combine like terms: c + -3c = -2c 20 + -2c = -42 + 3c + -3c Combine like terms: 3c + -3c = 0 20 + -2c = -42 + 0 20 + -2c = -42 Add '-20' to each side of the equation. 20 + -20 + -2c = -42 + -20 Combine like terms: 20 + -20 = 0 0 + -2c = -42 + -20 -2c = -42 + -20 Combine like terms: -42 + -20 = -62 -2c = -62 Divide each side by '-2'. c = 31 Simplifying c = 31
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