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Simplifying 2(4c + -1) + -1 = 5c + 6 Reorder the terms: 2(-1 + 4c) + -1 = 5c + 6 (-1 * 2 + 4c * 2) + -1 = 5c + 6 (-2 + 8c) + -1 = 5c + 6 Reorder the terms: -2 + -1 + 8c = 5c + 6 Combine like terms: -2 + -1 = -3 -3 + 8c = 5c + 6 Reorder the terms: -3 + 8c = 6 + 5c Solving -3 + 8c = 6 + 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. -3 + 8c + -5c = 6 + 5c + -5c Combine like terms: 8c + -5c = 3c -3 + 3c = 6 + 5c + -5c Combine like terms: 5c + -5c = 0 -3 + 3c = 6 + 0 -3 + 3c = 6 Add '3' to each side of the equation. -3 + 3 + 3c = 6 + 3 Combine like terms: -3 + 3 = 0 0 + 3c = 6 + 3 3c = 6 + 3 Combine like terms: 6 + 3 = 9 3c = 9 Divide each side by '3'. c = 3 Simplifying c = 3
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