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Simplifying 5(c + 2) + -3(3c + -5) = 1 Reorder the terms: 5(2 + c) + -3(3c + -5) = 1 (2 * 5 + c * 5) + -3(3c + -5) = 1 (10 + 5c) + -3(3c + -5) = 1 Reorder the terms: 10 + 5c + -3(-5 + 3c) = 1 10 + 5c + (-5 * -3 + 3c * -3) = 1 10 + 5c + (15 + -9c) = 1 Reorder the terms: 10 + 15 + 5c + -9c = 1 Combine like terms: 10 + 15 = 25 25 + 5c + -9c = 1 Combine like terms: 5c + -9c = -4c 25 + -4c = 1 Solving 25 + -4c = 1 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-25' to each side of the equation. 25 + -25 + -4c = 1 + -25 Combine like terms: 25 + -25 = 0 0 + -4c = 1 + -25 -4c = 1 + -25 Combine like terms: 1 + -25 = -24 -4c = -24 Divide each side by '-4'. c = 6 Simplifying c = 6
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