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Simplifying 4(c + -6) = 2 + 3c Reorder the terms: 4(-6 + c) = 2 + 3c (-6 * 4 + c * 4) = 2 + 3c (-24 + 4c) = 2 + 3c Solving -24 + 4c = 2 + 3c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-3c' to each side of the equation. -24 + 4c + -3c = 2 + 3c + -3c Combine like terms: 4c + -3c = 1c -24 + 1c = 2 + 3c + -3c Combine like terms: 3c + -3c = 0 -24 + 1c = 2 + 0 -24 + 1c = 2 Add '24' to each side of the equation. -24 + 24 + 1c = 2 + 24 Combine like terms: -24 + 24 = 0 0 + 1c = 2 + 24 1c = 2 + 24 Combine like terms: 2 + 24 = 26 1c = 26 Divide each side by '1'. c = 26 Simplifying c = 26
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