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Simplifying 5 + 10c = -7 + 8c Solving 5 + 10c = -7 + 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. 5 + 10c + -8c = -7 + 8c + -8c Combine like terms: 10c + -8c = 2c 5 + 2c = -7 + 8c + -8c Combine like terms: 8c + -8c = 0 5 + 2c = -7 + 0 5 + 2c = -7 Add '-5' to each side of the equation. 5 + -5 + 2c = -7 + -5 Combine like terms: 5 + -5 = 0 0 + 2c = -7 + -5 2c = -7 + -5 Combine like terms: -7 + -5 = -12 2c = -12 Divide each side by '2'. c = -6 Simplifying c = -6
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