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Simplifying 8c + 10 = 2(5c + 5) Reorder the terms: 10 + 8c = 2(5c + 5) Reorder the terms: 10 + 8c = 2(5 + 5c) 10 + 8c = (5 * 2 + 5c * 2) 10 + 8c = (10 + 10c) Add '-10' to each side of the equation. 10 + -10 + 8c = 10 + -10 + 10c Combine like terms: 10 + -10 = 0 0 + 8c = 10 + -10 + 10c 8c = 10 + -10 + 10c Combine like terms: 10 + -10 = 0 8c = 0 + 10c 8c = 10c Solving 8c = 10c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-10c' to each side of the equation. 8c + -10c = 10c + -10c Combine like terms: 8c + -10c = -2c -2c = 10c + -10c Combine like terms: 10c + -10c = 0 -2c = 0 Divide each side by '-2'. c = 0 Simplifying c = 0
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