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Simplifying 3c + -6 = 5c + 9 Reorder the terms: -6 + 3c = 5c + 9 Reorder the terms: -6 + 3c = 9 + 5c Solving -6 + 3c = 9 + 5c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-5c' to each side of the equation. -6 + 3c + -5c = 9 + 5c + -5c Combine like terms: 3c + -5c = -2c -6 + -2c = 9 + 5c + -5c Combine like terms: 5c + -5c = 0 -6 + -2c = 9 + 0 -6 + -2c = 9 Add '6' to each side of the equation. -6 + 6 + -2c = 9 + 6 Combine like terms: -6 + 6 = 0 0 + -2c = 9 + 6 -2c = 9 + 6 Combine like terms: 9 + 6 = 15 -2c = 15 Divide each side by '-2'. c = -7.5 Simplifying c = -7.5
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