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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 = -1c 5 + -1c = -24 + 3c + -3c Combine like terms: 3c + -3c = 0 5 + -1c = -24 + 0 5 + -1c = -24 Add '-5' to each side of the equation. 5 + -5 + -1c = -24 + -5 Combine like terms: 5 + -5 = 0 0 + -1c = -24 + -5 -1c = -24 + -5 Combine like terms: -24 + -5 = -29 -1c = -29 Divide each side by '-1'. c = 29 Simplifying c = 29
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