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Simplifying 8c + 3(1 + -4c) = 0 8c + (1 * 3 + -4c * 3) = 0 8c + (3 + -12c) = 0 Reorder the terms: 3 + 8c + -12c = 0 Combine like terms: 8c + -12c = -4c 3 + -4c = 0 Solving 3 + -4c = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -4c = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -4c = 0 + -3 -4c = 0 + -3 Combine like terms: 0 + -3 = -3 -4c = -3 Divide each side by '-4'. c = 0.75 Simplifying c = 0.75
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