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Simplifying -39 = -3(2 + 3k) + -2k -39 = (2 * -3 + 3k * -3) + -2k -39 = (-6 + -9k) + -2k Combine like terms: -9k + -2k = -11k -39 = -6 + -11k Solving -39 = -6 + -11k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '11k' to each side of the equation. -39 + 11k = -6 + -11k + 11k Combine like terms: -11k + 11k = 0 -39 + 11k = -6 + 0 -39 + 11k = -6 Add '39' to each side of the equation. -39 + 39 + 11k = -6 + 39 Combine like terms: -39 + 39 = 0 0 + 11k = -6 + 39 11k = -6 + 39 Combine like terms: -6 + 39 = 33 11k = 33 Divide each side by '11'. k = 3 Simplifying k = 3
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