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Simplifying 5 + 8c = -7 + 10c Solving 5 + 8c = -7 + 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. 5 + 8c + -10c = -7 + 10c + -10c Combine like terms: 8c + -10c = -2c 5 + -2c = -7 + 10c + -10c Combine like terms: 10c + -10c = 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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