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Simplifying 3(c + 4) + -2c = 16 + -4(c + 5) Reorder the terms: 3(4 + c) + -2c = 16 + -4(c + 5) (4 * 3 + c * 3) + -2c = 16 + -4(c + 5) (12 + 3c) + -2c = 16 + -4(c + 5) Combine like terms: 3c + -2c = 1c 12 + 1c = 16 + -4(c + 5) Reorder the terms: 12 + 1c = 16 + -4(5 + c) 12 + 1c = 16 + (5 * -4 + c * -4) 12 + 1c = 16 + (-20 + -4c) Combine like terms: 16 + -20 = -4 12 + 1c = -4 + -4c Solving 12 + 1c = -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. 12 + 1c + 4c = -4 + -4c + 4c Combine like terms: 1c + 4c = 5c 12 + 5c = -4 + -4c + 4c Combine like terms: -4c + 4c = 0 12 + 5c = -4 + 0 12 + 5c = -4 Add '-12' to each side of the equation. 12 + -12 + 5c = -4 + -12 Combine like terms: 12 + -12 = 0 0 + 5c = -4 + -12 5c = -4 + -12 Combine like terms: -4 + -12 = -16 5c = -16 Divide each side by '5'. c = -3.2 Simplifying c = -3.2
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