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Simplifying -3(4c + 2) + c = 38 Reorder the terms: -3(2 + 4c) + c = 38 (2 * -3 + 4c * -3) + c = 38 (-6 + -12c) + c = 38 Combine like terms: -12c + c = -11c -6 + -11c = 38 Solving -6 + -11c = 38 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + -11c = 38 + 6 Combine like terms: -6 + 6 = 0 0 + -11c = 38 + 6 -11c = 38 + 6 Combine like terms: 38 + 6 = 44 -11c = 44 Divide each side by '-11'. c = -4 Simplifying c = -4
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