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Simplifying 0.5(6c + 8) = 0.75(8c + 4) Reorder the terms: 0.5(8 + 6c) = 0.75(8c + 4) (8 * 0.5 + 6c * 0.5) = 0.75(8c + 4) (4 + 3c) = 0.75(8c + 4) Reorder the terms: 4 + 3c = 0.75(4 + 8c) 4 + 3c = (4 * 0.75 + 8c * 0.75) 4 + 3c = (3 + 6c) Solving 4 + 3c = 3 + 6c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-6c' to each side of the equation. 4 + 3c + -6c = 3 + 6c + -6c Combine like terms: 3c + -6c = -3c 4 + -3c = 3 + 6c + -6c Combine like terms: 6c + -6c = 0 4 + -3c = 3 + 0 4 + -3c = 3 Add '-4' to each side of the equation. 4 + -4 + -3c = 3 + -4 Combine like terms: 4 + -4 = 0 0 + -3c = 3 + -4 -3c = 3 + -4 Combine like terms: 3 + -4 = -1 -3c = -1 Divide each side by '-3'. c = 0.3333333333 Simplifying c = 0.3333333333
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