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Simplifying 7c + 10 = 2 + -5c Reorder the terms: 10 + 7c = 2 + -5c Solving 10 + 7c = 2 + -5c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '5c' to each side of the equation. 10 + 7c + 5c = 2 + -5c + 5c Combine like terms: 7c + 5c = 12c 10 + 12c = 2 + -5c + 5c Combine like terms: -5c + 5c = 0 10 + 12c = 2 + 0 10 + 12c = 2 Add '-10' to each side of the equation. 10 + -10 + 12c = 2 + -10 Combine like terms: 10 + -10 = 0 0 + 12c = 2 + -10 12c = 2 + -10 Combine like terms: 2 + -10 = -8 12c = -8 Divide each side by '12'. c = -0.6666666667 Simplifying c = -0.6666666667
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