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Simplifying 4(2c + -1) + -4 = 3c + 2 Reorder the terms: 4(-1 + 2c) + -4 = 3c + 2 (-1 * 4 + 2c * 4) + -4 = 3c + 2 (-4 + 8c) + -4 = 3c + 2 Reorder the terms: -4 + -4 + 8c = 3c + 2 Combine like terms: -4 + -4 = -8 -8 + 8c = 3c + 2 Reorder the terms: -8 + 8c = 2 + 3c Solving -8 + 8c = 2 + 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. -8 + 8c + -3c = 2 + 3c + -3c Combine like terms: 8c + -3c = 5c -8 + 5c = 2 + 3c + -3c Combine like terms: 3c + -3c = 0 -8 + 5c = 2 + 0 -8 + 5c = 2 Add '8' to each side of the equation. -8 + 8 + 5c = 2 + 8 Combine like terms: -8 + 8 = 0 0 + 5c = 2 + 8 5c = 2 + 8 Combine like terms: 2 + 8 = 10 5c = 10 Divide each side by '5'. c = 2 Simplifying c = 2
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