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Simplifying -4(4c + 2) + 2(6c + -9) = 0 Reorder the terms: -4(2 + 4c) + 2(6c + -9) = 0 (2 * -4 + 4c * -4) + 2(6c + -9) = 0 (-8 + -16c) + 2(6c + -9) = 0 Reorder the terms: -8 + -16c + 2(-9 + 6c) = 0 -8 + -16c + (-9 * 2 + 6c * 2) = 0 -8 + -16c + (-18 + 12c) = 0 Reorder the terms: -8 + -18 + -16c + 12c = 0 Combine like terms: -8 + -18 = -26 -26 + -16c + 12c = 0 Combine like terms: -16c + 12c = -4c -26 + -4c = 0 Solving -26 + -4c = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '26' to each side of the equation. -26 + 26 + -4c = 0 + 26 Combine like terms: -26 + 26 = 0 0 + -4c = 0 + 26 -4c = 0 + 26 Combine like terms: 0 + 26 = 26 -4c = 26 Divide each side by '-4'. c = -6.5 Simplifying c = -6.5
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