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Simplifying 2c + 5 = -3(c + -8) Reorder the terms: 5 + 2c = -3(c + -8) Reorder the terms: 5 + 2c = -3(-8 + c) 5 + 2c = (-8 * -3 + c * -3) 5 + 2c = (24 + -3c) Solving 5 + 2c = 24 + -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. 5 + 2c + 3c = 24 + -3c + 3c Combine like terms: 2c + 3c = 5c 5 + 5c = 24 + -3c + 3c Combine like terms: -3c + 3c = 0 5 + 5c = 24 + 0 5 + 5c = 24 Add '-5' to each side of the equation. 5 + -5 + 5c = 24 + -5 Combine like terms: 5 + -5 = 0 0 + 5c = 24 + -5 5c = 24 + -5 Combine like terms: 24 + -5 = 19 5c = 19 Divide each side by '5'. c = 3.8 Simplifying c = 3.8
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