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Simplifying 2(2c + 1) + -9c = -13 Reorder the terms: 2(1 + 2c) + -9c = -13 (1 * 2 + 2c * 2) + -9c = -13 (2 + 4c) + -9c = -13 Combine like terms: 4c + -9c = -5c 2 + -5c = -13 Solving 2 + -5c = -13 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -5c = -13 + -2 Combine like terms: 2 + -2 = 0 0 + -5c = -13 + -2 -5c = -13 + -2 Combine like terms: -13 + -2 = -15 -5c = -15 Divide each side by '-5'. c = 3 Simplifying c = 3
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