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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 = -20k -36 + -20k = 24 + 18k + -18k Combine like terms: 18k + -18k = 0 -36 + -20k = 24 + 0 -36 + -20k = 24 Add '36' to each side of the equation. -36 + 36 + -20k = 24 + 36 Combine like terms: -36 + 36 = 0 0 + -20k = 24 + 36 -20k = 24 + 36 Combine like terms: 24 + 36 = 60 -20k = 60 Divide each side by '-20'. k = -3 Simplifying k = -3
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