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Simplifying -36 + -12k = 12(2 + 6k) -36 + -12k = (2 * 12 + 6k * 12) -36 + -12k = (24 + 72k) Solving -36 + -12k = 24 + 72k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-72k' to each side of the equation. -36 + -12k + -72k = 24 + 72k + -72k Combine like terms: -12k + -72k = -84k -36 + -84k = 24 + 72k + -72k Combine like terms: 72k + -72k = 0 -36 + -84k = 24 + 0 -36 + -84k = 24 Add '36' to each side of the equation. -36 + 36 + -84k = 24 + 36 Combine like terms: -36 + 36 = 0 0 + -84k = 24 + 36 -84k = 24 + 36 Combine like terms: 24 + 36 = 60 -84k = 60 Divide each side by '-84'. k = -0.7142857143 Simplifying k = -0.7142857143
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