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Simplifying -6(1 + 3k) = -36 + -3k (1 * -6 + 3k * -6) = -36 + -3k (-6 + -18k) = -36 + -3k Solving -6 + -18k = -36 + -3k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '3k' to each side of the equation. -6 + -18k + 3k = -36 + -3k + 3k Combine like terms: -18k + 3k = -15k -6 + -15k = -36 + -3k + 3k Combine like terms: -3k + 3k = 0 -6 + -15k = -36 + 0 -6 + -15k = -36 Add '6' to each side of the equation. -6 + 6 + -15k = -36 + 6 Combine like terms: -6 + 6 = 0 0 + -15k = -36 + 6 -15k = -36 + 6 Combine like terms: -36 + 6 = -30 -15k = -30 Divide each side by '-15'. k = 2 Simplifying k = 2
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