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Simplifying 3(2c + -1) + -2(c + -1) = 0 Reorder the terms: 3(-1 + 2c) + -2(c + -1) = 0 (-1 * 3 + 2c * 3) + -2(c + -1) = 0 (-3 + 6c) + -2(c + -1) = 0 Reorder the terms: -3 + 6c + -2(-1 + c) = 0 -3 + 6c + (-1 * -2 + c * -2) = 0 -3 + 6c + (2 + -2c) = 0 Reorder the terms: -3 + 2 + 6c + -2c = 0 Combine like terms: -3 + 2 = -1 -1 + 6c + -2c = 0 Combine like terms: 6c + -2c = 4c -1 + 4c = 0 Solving -1 + 4c = 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 + 4c = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 4c = 0 + 1 4c = 0 + 1 Combine like terms: 0 + 1 = 1 4c = 1 Divide each side by '4'. c = 0.25 Simplifying c = 0.25
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