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Simplifying 2(c + -4) + -3(c + -2) = 0 Reorder the terms: 2(-4 + c) + -3(c + -2) = 0 (-4 * 2 + c * 2) + -3(c + -2) = 0 (-8 + 2c) + -3(c + -2) = 0 Reorder the terms: -8 + 2c + -3(-2 + c) = 0 -8 + 2c + (-2 * -3 + c * -3) = 0 -8 + 2c + (6 + -3c) = 0 Reorder the terms: -8 + 6 + 2c + -3c = 0 Combine like terms: -8 + 6 = -2 -2 + 2c + -3c = 0 Combine like terms: 2c + -3c = -1c -2 + -1c = 0 Solving -2 + -1c = 0 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 + -1c = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -1c = 0 + 2 -1c = 0 + 2 Combine like terms: 0 + 2 = 2 -1c = 2 Divide each side by '-1'. c = -2 Simplifying c = -2
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