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