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Simplifying 4(c + 2) + -3(c + -4) = 0 Reorder the terms: 4(2 + c) + -3(c + -4) = 0 (2 * 4 + c * 4) + -3(c + -4) = 0 (8 + 4c) + -3(c + -4) = 0 Reorder the terms: 8 + 4c + -3(-4 + c) = 0 8 + 4c + (-4 * -3 + c * -3) = 0 8 + 4c + (12 + -3c) = 0 Reorder the terms: 8 + 12 + 4c + -3c = 0 Combine like terms: 8 + 12 = 20 20 + 4c + -3c = 0 Combine like terms: 4c + -3c = 1c 20 + 1c = 0 Solving 20 + 1c = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + 1c = 0 + -20 Combine like terms: 20 + -20 = 0 0 + 1c = 0 + -20 1c = 0 + -20 Combine like terms: 0 + -20 = -20 1c = -20 Divide each side by '1'. c = -20 Simplifying c = -20
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