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Simplifying 15 + 3c = 8c + -10 Reorder the terms: 15 + 3c = -10 + 8c Solving 15 + 3c = -10 + 8c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-8c' to each side of the equation. 15 + 3c + -8c = -10 + 8c + -8c Combine like terms: 3c + -8c = -5c 15 + -5c = -10 + 8c + -8c Combine like terms: 8c + -8c = 0 15 + -5c = -10 + 0 15 + -5c = -10 Add '-15' to each side of the equation. 15 + -15 + -5c = -10 + -15 Combine like terms: 15 + -15 = 0 0 + -5c = -10 + -15 -5c = -10 + -15 Combine like terms: -10 + -15 = -25 -5c = -25 Divide each side by '-5'. c = 5 Simplifying c = 5
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