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Simplifying 3(c + 4) + -2 = 16 + -4(c + 5) Reorder the terms: 3(4 + c) + -2 = 16 + -4(c + 5) (4 * 3 + c * 3) + -2 = 16 + -4(c + 5) (12 + 3c) + -2 = 16 + -4(c + 5) Reorder the terms: 12 + -2 + 3c = 16 + -4(c + 5) Combine like terms: 12 + -2 = 10 10 + 3c = 16 + -4(c + 5) Reorder the terms: 10 + 3c = 16 + -4(5 + c) 10 + 3c = 16 + (5 * -4 + c * -4) 10 + 3c = 16 + (-20 + -4c) Combine like terms: 16 + -20 = -4 10 + 3c = -4 + -4c Solving 10 + 3c = -4 + -4c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '4c' to each side of the equation. 10 + 3c + 4c = -4 + -4c + 4c Combine like terms: 3c + 4c = 7c 10 + 7c = -4 + -4c + 4c Combine like terms: -4c + 4c = 0 10 + 7c = -4 + 0 10 + 7c = -4 Add '-10' to each side of the equation. 10 + -10 + 7c = -4 + -10 Combine like terms: 10 + -10 = 0 0 + 7c = -4 + -10 7c = -4 + -10 Combine like terms: -4 + -10 = -14 7c = -14 Divide each side by '7'. c = -2 Simplifying c = -2
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