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Simplifying 2(4c + -1) = 5c + 3 Reorder the terms: 2(-1 + 4c) = 5c + 3 (-1 * 2 + 4c * 2) = 5c + 3 (-2 + 8c) = 5c + 3 Reorder the terms: -2 + 8c = 3 + 5c Solving -2 + 8c = 3 + 5c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-5c' to each side of the equation. -2 + 8c + -5c = 3 + 5c + -5c Combine like terms: 8c + -5c = 3c -2 + 3c = 3 + 5c + -5c Combine like terms: 5c + -5c = 0 -2 + 3c = 3 + 0 -2 + 3c = 3 Add '2' to each side of the equation. -2 + 2 + 3c = 3 + 2 Combine like terms: -2 + 2 = 0 0 + 3c = 3 + 2 3c = 3 + 2 Combine like terms: 3 + 2 = 5 3c = 5 Divide each side by '3'. c = 1.666666667 Simplifying c = 1.666666667
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