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Simplifying 10 + c + -8c = -10 + -3c Combine like terms: c + -8c = -7c 10 + -7c = -10 + -3c Solving 10 + -7c = -10 + -3c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '3c' to each side of the equation. 10 + -7c + 3c = -10 + -3c + 3c Combine like terms: -7c + 3c = -4c 10 + -4c = -10 + -3c + 3c Combine like terms: -3c + 3c = 0 10 + -4c = -10 + 0 10 + -4c = -10 Add '-10' to each side of the equation. 10 + -10 + -4c = -10 + -10 Combine like terms: 10 + -10 = 0 0 + -4c = -10 + -10 -4c = -10 + -10 Combine like terms: -10 + -10 = -20 -4c = -20 Divide each side by '-4'. c = 5 Simplifying c = 5
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