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Simplifying -4(4c + -2) + 6(2c + 3) = 0 Reorder the terms: -4(-2 + 4c) + 6(2c + 3) = 0 (-2 * -4 + 4c * -4) + 6(2c + 3) = 0 (8 + -16c) + 6(2c + 3) = 0 Reorder the terms: 8 + -16c + 6(3 + 2c) = 0 8 + -16c + (3 * 6 + 2c * 6) = 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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