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Simplifying 2(4c + -1) + -4 = 6c + 8 Reorder the terms: 2(-1 + 4c) + -4 = 6c + 8 (-1 * 2 + 4c * 2) + -4 = 6c + 8 (-2 + 8c) + -4 = 6c + 8 Reorder the terms: -2 + -4 + 8c = 6c + 8 Combine like terms: -2 + -4 = -6 -6 + 8c = 6c + 8 Reorder the terms: -6 + 8c = 8 + 6c Solving -6 + 8c = 8 + 6c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-6c' to each side of the equation. -6 + 8c + -6c = 8 + 6c + -6c Combine like terms: 8c + -6c = 2c -6 + 2c = 8 + 6c + -6c Combine like terms: 6c + -6c = 0 -6 + 2c = 8 + 0 -6 + 2c = 8 Add '6' to each side of the equation. -6 + 6 + 2c = 8 + 6 Combine like terms: -6 + 6 = 0 0 + 2c = 8 + 6 2c = 8 + 6 Combine like terms: 8 + 6 = 14 2c = 14 Divide each side by '2'. c = 7 Simplifying c = 7
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