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Simplifying 20(2c + 1) + -19(2c + 1) = 0 Reorder the terms: 20(1 + 2c) + -19(2c + 1) = 0 (1 * 20 + 2c * 20) + -19(2c + 1) = 0 (20 + 40c) + -19(2c + 1) = 0 Reorder the terms: 20 + 40c + -19(1 + 2c) = 0 20 + 40c + (1 * -19 + 2c * -19) = 0 20 + 40c + (-19 + -38c) = 0 Reorder the terms: 20 + -19 + 40c + -38c = 0 Combine like terms: 20 + -19 = 1 1 + 40c + -38c = 0 Combine like terms: 40c + -38c = 2c 1 + 2c = 0 Solving 1 + 2c = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 2c = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 2c = 0 + -1 2c = 0 + -1 Combine like terms: 0 + -1 = -1 2c = -1 Divide each side by '2'. c = -0.5 Simplifying c = -0.5
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