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Simplifying 5(c + -4) = 3c + 34 Reorder the terms: 5(-4 + c) = 3c + 34 (-4 * 5 + c * 5) = 3c + 34 (-20 + 5c) = 3c + 34 Reorder the terms: -20 + 5c = 34 + 3c Solving -20 + 5c = 34 + 3c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-3c' to each side of the equation. -20 + 5c + -3c = 34 + 3c + -3c Combine like terms: 5c + -3c = 2c -20 + 2c = 34 + 3c + -3c Combine like terms: 3c + -3c = 0 -20 + 2c = 34 + 0 -20 + 2c = 34 Add '20' to each side of the equation. -20 + 20 + 2c = 34 + 20 Combine like terms: -20 + 20 = 0 0 + 2c = 34 + 20 2c = 34 + 20 Combine like terms: 34 + 20 = 54 2c = 54 Divide each side by '2'. c = 27 Simplifying c = 27
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