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Simplifying 0.5c + -3 = 2c + -24 Reorder the terms: -3 + 0.5c = 2c + -24 Reorder the terms: -3 + 0.5c = -24 + 2c Solving -3 + 0.5c = -24 + 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. -3 + 0.5c + -2c = -24 + 2c + -2c Combine like terms: 0.5c + -2c = -1.5c -3 + -1.5c = -24 + 2c + -2c Combine like terms: 2c + -2c = 0 -3 + -1.5c = -24 + 0 -3 + -1.5c = -24 Add '3' to each side of the equation. -3 + 3 + -1.5c = -24 + 3 Combine like terms: -3 + 3 = 0 0 + -1.5c = -24 + 3 -1.5c = -24 + 3 Combine like terms: -24 + 3 = -21 -1.5c = -21 Divide each side by '-1.5'. c = 14 Simplifying c = 14
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