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Simplifying 3c + -2(1c + 9) + -3(2c + -2) = 0 Reorder the terms: 3c + -2(9 + 1c) + -3(2c + -2) = 0 3c + (9 * -2 + 1c * -2) + -3(2c + -2) = 0 3c + (-18 + -2c) + -3(2c + -2) = 0 Reorder the terms: 3c + -18 + -2c + -3(-2 + 2c) = 0 3c + -18 + -2c + (-2 * -3 + 2c * -3) = 0 3c + -18 + -2c + (6 + -6c) = 0 Reorder the terms: -18 + 6 + 3c + -2c + -6c = 0 Combine like terms: -18 + 6 = -12 -12 + 3c + -2c + -6c = 0 Combine like terms: 3c + -2c = 1c -12 + 1c + -6c = 0 Combine like terms: 1c + -6c = -5c -12 + -5c = 0 Solving -12 + -5c = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + -5c = 0 + 12 Combine like terms: -12 + 12 = 0 0 + -5c = 0 + 12 -5c = 0 + 12 Combine like terms: 0 + 12 = 12 -5c = 12 Divide each side by '-5'. c = -2.4 Simplifying c = -2.4
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