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Simplifying 10c + -4 = 3c + 6 + 9c Reorder the terms: -4 + 10c = 3c + 6 + 9c Reorder the terms: -4 + 10c = 6 + 3c + 9c Combine like terms: 3c + 9c = 12c -4 + 10c = 6 + 12c Solving -4 + 10c = 6 + 12c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-12c' to each side of the equation. -4 + 10c + -12c = 6 + 12c + -12c Combine like terms: 10c + -12c = -2c -4 + -2c = 6 + 12c + -12c Combine like terms: 12c + -12c = 0 -4 + -2c = 6 + 0 -4 + -2c = 6 Add '4' to each side of the equation. -4 + 4 + -2c = 6 + 4 Combine like terms: -4 + 4 = 0 0 + -2c = 6 + 4 -2c = 6 + 4 Combine like terms: 6 + 4 = 10 -2c = 10 Divide each side by '-2'. c = -5 Simplifying c = -5
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