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Simplifying 2(4c + -1) + -2 = 3c + 6 Reorder the terms: 2(-1 + 4c) + -2 = 3c + 6 (-1 * 2 + 4c * 2) + -2 = 3c + 6 (-2 + 8c) + -2 = 3c + 6 Reorder the terms: -2 + -2 + 8c = 3c + 6 Combine like terms: -2 + -2 = -4 -4 + 8c = 3c + 6 Reorder the terms: -4 + 8c = 6 + 3c Solving -4 + 8c = 6 + 3c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-3c' to each side of the equation. -4 + 8c + -3c = 6 + 3c + -3c Combine like terms: 8c + -3c = 5c -4 + 5c = 6 + 3c + -3c Combine like terms: 3c + -3c = 0 -4 + 5c = 6 + 0 -4 + 5c = 6 Add '4' to each side of the equation. -4 + 4 + 5c = 6 + 4 Combine like terms: -4 + 4 = 0 0 + 5c = 6 + 4 5c = 6 + 4 Combine like terms: 6 + 4 = 10 5c = 10 Divide each side by '5'. c = 2 Simplifying c = 2
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