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Simplifying 6(c + -4) = -6(3c + 2) Reorder the terms: 6(-4 + c) = -6(3c + 2) (-4 * 6 + c * 6) = -6(3c + 2) (-24 + 6c) = -6(3c + 2) Reorder the terms: -24 + 6c = -6(2 + 3c) -24 + 6c = (2 * -6 + 3c * -6) -24 + 6c = (-12 + -18c) Solving -24 + 6c = -12 + -18c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '18c' to each side of the equation. -24 + 6c + 18c = -12 + -18c + 18c Combine like terms: 6c + 18c = 24c -24 + 24c = -12 + -18c + 18c Combine like terms: -18c + 18c = 0 -24 + 24c = -12 + 0 -24 + 24c = -12 Add '24' to each side of the equation. -24 + 24 + 24c = -12 + 24 Combine like terms: -24 + 24 = 0 0 + 24c = -12 + 24 24c = -12 + 24 Combine like terms: -12 + 24 = 12 24c = 12 Divide each side by '24'. c = 0.5 Simplifying c = 0.5
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