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Simplifying 6(c + 10) + 8 = 8c + -10 Reorder the terms: 6(10 + c) + 8 = 8c + -10 (10 * 6 + c * 6) + 8 = 8c + -10 (60 + 6c) + 8 = 8c + -10 Reorder the terms: 60 + 8 + 6c = 8c + -10 Combine like terms: 60 + 8 = 68 68 + 6c = 8c + -10 Reorder the terms: 68 + 6c = -10 + 8c Solving 68 + 6c = -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. 68 + 6c + -8c = -10 + 8c + -8c Combine like terms: 6c + -8c = -2c 68 + -2c = -10 + 8c + -8c Combine like terms: 8c + -8c = 0 68 + -2c = -10 + 0 68 + -2c = -10 Add '-68' to each side of the equation. 68 + -68 + -2c = -10 + -68 Combine like terms: 68 + -68 = 0 0 + -2c = -10 + -68 -2c = -10 + -68 Combine like terms: -10 + -68 = -78 -2c = -78 Divide each side by '-2'. c = 39 Simplifying c = 39
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