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Simplifying 17 + 5(c + -4) = 47 Reorder the terms: 17 + 5(-4 + c) = 47 17 + (-4 * 5 + c * 5) = 47 17 + (-20 + 5c) = 47 Combine like terms: 17 + -20 = -3 -3 + 5c = 47 Solving -3 + 5c = 47 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + 5c = 47 + 3 Combine like terms: -3 + 3 = 0 0 + 5c = 47 + 3 5c = 47 + 3 Combine like terms: 47 + 3 = 50 5c = 50 Divide each side by '5'. c = 10 Simplifying c = 10
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