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Simplifying 2c + 5(c + -2) + -3(2c + 3) = 0 Reorder the terms: 2c + 5(-2 + c) + -3(2c + 3) = 0 2c + (-2 * 5 + c * 5) + -3(2c + 3) = 0 2c + (-10 + 5c) + -3(2c + 3) = 0 Reorder the terms: 2c + -10 + 5c + -3(3 + 2c) = 0 2c + -10 + 5c + (3 * -3 + 2c * -3) = 0 2c + -10 + 5c + (-9 + -6c) = 0 Reorder the terms: -10 + -9 + 2c + 5c + -6c = 0 Combine like terms: -10 + -9 = -19 -19 + 2c + 5c + -6c = 0 Combine like terms: 2c + 5c = 7c -19 + 7c + -6c = 0 Combine like terms: 7c + -6c = 1c -19 + 1c = 0 Solving -19 + 1c = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '19' to each side of the equation. -19 + 19 + 1c = 0 + 19 Combine like terms: -19 + 19 = 0 0 + 1c = 0 + 19 1c = 0 + 19 Combine like terms: 0 + 19 = 19 1c = 19 Divide each side by '1'. c = 19 Simplifying c = 19
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