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Simplifying c + -493 = -9c + -3 Reorder the terms: -493 + c = -9c + -3 Reorder the terms: -493 + c = -3 + -9c Solving -493 + c = -3 + -9c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '9c' to each side of the equation. -493 + c + 9c = -3 + -9c + 9c Combine like terms: c + 9c = 10c -493 + 10c = -3 + -9c + 9c Combine like terms: -9c + 9c = 0 -493 + 10c = -3 + 0 -493 + 10c = -3 Add '493' to each side of the equation. -493 + 493 + 10c = -3 + 493 Combine like terms: -493 + 493 = 0 0 + 10c = -3 + 493 10c = -3 + 493 Combine like terms: -3 + 493 = 490 10c = 490 Divide each side by '10'. c = 49 Simplifying c = 49
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