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Simplifying 3(2c + -5) + 4 = 9 + c Reorder the terms: 3(-5 + 2c) + 4 = 9 + c (-5 * 3 + 2c * 3) + 4 = 9 + c (-15 + 6c) + 4 = 9 + c Reorder the terms: -15 + 4 + 6c = 9 + c Combine like terms: -15 + 4 = -11 -11 + 6c = 9 + c Solving -11 + 6c = 9 + c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-1c' to each side of the equation. -11 + 6c + -1c = 9 + c + -1c Combine like terms: 6c + -1c = 5c -11 + 5c = 9 + c + -1c Combine like terms: c + -1c = 0 -11 + 5c = 9 + 0 -11 + 5c = 9 Add '11' to each side of the equation. -11 + 11 + 5c = 9 + 11 Combine like terms: -11 + 11 = 0 0 + 5c = 9 + 11 5c = 9 + 11 Combine like terms: 9 + 11 = 20 5c = 20 Divide each side by '5'. c = 4 Simplifying c = 4
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