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Simplifying 4(2c + -1) + -4 = 6c + 6 Reorder the terms: 4(-1 + 2c) + -4 = 6c + 6 (-1 * 4 + 2c * 4) + -4 = 6c + 6 (-4 + 8c) + -4 = 6c + 6 Reorder the terms: -4 + -4 + 8c = 6c + 6 Combine like terms: -4 + -4 = -8 -8 + 8c = 6c + 6 Reorder the terms: -8 + 8c = 6 + 6c Solving -8 + 8c = 6 + 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. -8 + 8c + -6c = 6 + 6c + -6c Combine like terms: 8c + -6c = 2c -8 + 2c = 6 + 6c + -6c Combine like terms: 6c + -6c = 0 -8 + 2c = 6 + 0 -8 + 2c = 6 Add '8' to each side of the equation. -8 + 8 + 2c = 6 + 8 Combine like terms: -8 + 8 = 0 0 + 2c = 6 + 8 2c = 6 + 8 Combine like terms: 6 + 8 = 14 2c = 14 Divide each side by '2'. c = 7 Simplifying c = 7
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