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Simplifying 3c + 4(c + -5) = 9c + 4 Reorder the terms: 3c + 4(-5 + c) = 9c + 4 3c + (-5 * 4 + c * 4) = 9c + 4 3c + (-20 + 4c) = 9c + 4 Reorder the terms: -20 + 3c + 4c = 9c + 4 Combine like terms: 3c + 4c = 7c -20 + 7c = 9c + 4 Reorder the terms: -20 + 7c = 4 + 9c Solving -20 + 7c = 4 + 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. -20 + 7c + -9c = 4 + 9c + -9c Combine like terms: 7c + -9c = -2c -20 + -2c = 4 + 9c + -9c Combine like terms: 9c + -9c = 0 -20 + -2c = 4 + 0 -20 + -2c = 4 Add '20' to each side of the equation. -20 + 20 + -2c = 4 + 20 Combine like terms: -20 + 20 = 0 0 + -2c = 4 + 20 -2c = 4 + 20 Combine like terms: 4 + 20 = 24 -2c = 24 Divide each side by '-2'. c = -12 Simplifying c = -12
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