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