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Simplifying c + -4 + 2 = 10c + 7 Reorder the terms: -4 + 2 + c = 10c + 7 Combine like terms: -4 + 2 = -2 -2 + c = 10c + 7 Reorder the terms: -2 + c = 7 + 10c Solving -2 + c = 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. -2 + c + -10c = 7 + 10c + -10c Combine like terms: c + -10c = -9c -2 + -9c = 7 + 10c + -10c Combine like terms: 10c + -10c = 0 -2 + -9c = 7 + 0 -2 + -9c = 7 Add '2' to each side of the equation. -2 + 2 + -9c = 7 + 2 Combine like terms: -2 + 2 = 0 0 + -9c = 7 + 2 -9c = 7 + 2 Combine like terms: 7 + 2 = 9 -9c = 9 Divide each side by '-9'. c = -1 Simplifying c = -1
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