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Simplifying 5c + 10 = -3c + 58 Reorder the terms: 10 + 5c = -3c + 58 Reorder the terms: 10 + 5c = 58 + -3c Solving 10 + 5c = 58 + -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. 10 + 5c + 3c = 58 + -3c + 3c Combine like terms: 5c + 3c = 8c 10 + 8c = 58 + -3c + 3c Combine like terms: -3c + 3c = 0 10 + 8c = 58 + 0 10 + 8c = 58 Add '-10' to each side of the equation. 10 + -10 + 8c = 58 + -10 Combine like terms: 10 + -10 = 0 0 + 8c = 58 + -10 8c = 58 + -10 Combine like terms: 58 + -10 = 48 8c = 48 Divide each side by '8'. c = 6 Simplifying c = 6
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