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Simplifying 4c + -3(c + -3) = 47 Reorder the terms: 4c + -3(-3 + c) = 47 4c + (-3 * -3 + c * -3) = 47 4c + (9 + -3c) = 47 Reorder the terms: 9 + 4c + -3c = 47 Combine like terms: 4c + -3c = 1c 9 + 1c = 47 Solving 9 + 1c = 47 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 1c = 47 + -9 Combine like terms: 9 + -9 = 0 0 + 1c = 47 + -9 1c = 47 + -9 Combine like terms: 47 + -9 = 38 1c = 38 Divide each side by '1'. c = 38 Simplifying c = 38
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