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Simplifying 4c + -2 = -9 + 10c + -7c Reorder the terms: -2 + 4c = -9 + 10c + -7c Combine like terms: 10c + -7c = 3c -2 + 4c = -9 + 3c Solving -2 + 4c = -9 + 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. -2 + 4c + -3c = -9 + 3c + -3c Combine like terms: 4c + -3c = 1c -2 + 1c = -9 + 3c + -3c Combine like terms: 3c + -3c = 0 -2 + 1c = -9 + 0 -2 + 1c = -9 Add '2' to each side of the equation. -2 + 2 + 1c = -9 + 2 Combine like terms: -2 + 2 = 0 0 + 1c = -9 + 2 1c = -9 + 2 Combine like terms: -9 + 2 = -7 1c = -7 Divide each side by '1'. c = -7 Simplifying c = -7
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