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Simplifying -36 + -2k = -6(3k + -4) Reorder the terms: -36 + -2k = -6(-4 + 3k) -36 + -2k = (-4 * -6 + 3k * -6) -36 + -2k = (24 + -18k) Solving -36 + -2k = 24 + -18k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '18k' to each side of the equation. -36 + -2k + 18k = 24 + -18k + 18k Combine like terms: -2k + 18k = 16k -36 + 16k = 24 + -18k + 18k Combine like terms: -18k + 18k = 0 -36 + 16k = 24 + 0 -36 + 16k = 24 Add '36' to each side of the equation. -36 + 36 + 16k = 24 + 36 Combine like terms: -36 + 36 = 0 0 + 16k = 24 + 36 16k = 24 + 36 Combine like terms: 24 + 36 = 60 16k = 60 Divide each side by '16'. k = 3.75 Simplifying k = 3.75
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