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Simplifying c + -10 = 1 + 9 + -3c Reorder the terms: -10 + c = 1 + 9 + -3c Combine like terms: 1 + 9 = 10 -10 + c = 10 + -3c Solving -10 + c = 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 + c + 3c = 10 + -3c + 3c Combine like terms: c + 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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