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Simplifying 10 + 3c = 8c + -5 Reorder the terms: 10 + 3c = -5 + 8c Solving 10 + 3c = -5 + 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. 10 + 3c + -8c = -5 + 8c + -8c Combine like terms: 3c + -8c = -5c 10 + -5c = -5 + 8c + -8c Combine like terms: 8c + -8c = 0 10 + -5c = -5 + 0 10 + -5c = -5 Add '-10' to each side of the equation. 10 + -10 + -5c = -5 + -10 Combine like terms: 10 + -10 = 0 0 + -5c = -5 + -10 -5c = -5 + -10 Combine like terms: -5 + -10 = -15 -5c = -15 Divide each side by '-5'. c = 3 Simplifying c = 3
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