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Simplifying 3(c + 4) + c = 2(c + -5) Reorder the terms: 3(4 + c) + c = 2(c + -5) (4 * 3 + c * 3) + c = 2(c + -5) (12 + 3c) + c = 2(c + -5) Combine like terms: 3c + c = 4c 12 + 4c = 2(c + -5) Reorder the terms: 12 + 4c = 2(-5 + c) 12 + 4c = (-5 * 2 + c * 2) 12 + 4c = (-10 + 2c) Solving 12 + 4c = -10 + 2c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-2c' to each side of the equation. 12 + 4c + -2c = -10 + 2c + -2c Combine like terms: 4c + -2c = 2c 12 + 2c = -10 + 2c + -2c Combine like terms: 2c + -2c = 0 12 + 2c = -10 + 0 12 + 2c = -10 Add '-12' to each side of the equation. 12 + -12 + 2c = -10 + -12 Combine like terms: 12 + -12 = 0 0 + 2c = -10 + -12 2c = -10 + -12 Combine like terms: -10 + -12 = -22 2c = -22 Divide each side by '2'. c = -11 Simplifying c = -11
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