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Simplifying 4(c + -1) = 6(c + 2) + 2c Reorder the terms: 4(-1 + c) = 6(c + 2) + 2c (-1 * 4 + c * 4) = 6(c + 2) + 2c (-4 + 4c) = 6(c + 2) + 2c Reorder the terms: -4 + 4c = 6(2 + c) + 2c -4 + 4c = (2 * 6 + c * 6) + 2c -4 + 4c = (12 + 6c) + 2c Combine like terms: 6c + 2c = 8c -4 + 4c = 12 + 8c Solving -4 + 4c = 12 + 8c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-8c' to each side of the equation. -4 + 4c + -8c = 12 + 8c + -8c Combine like terms: 4c + -8c = -4c -4 + -4c = 12 + 8c + -8c Combine like terms: 8c + -8c = 0 -4 + -4c = 12 + 0 -4 + -4c = 12 Add '4' to each side of the equation. -4 + 4 + -4c = 12 + 4 Combine like terms: -4 + 4 = 0 0 + -4c = 12 + 4 -4c = 12 + 4 Combine like terms: 12 + 4 = 16 -4c = 16 Divide each side by '-4'. c = -4 Simplifying c = -4
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