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Simplifying -31 = 3(2k + -9) Reorder the terms: -31 = 3(-9 + 2k) -31 = (-9 * 3 + 2k * 3) -31 = (-27 + 6k) Solving -31 = -27 + 6k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-6k' to each side of the equation. -31 + -6k = -27 + 6k + -6k Combine like terms: 6k + -6k = 0 -31 + -6k = -27 + 0 -31 + -6k = -27 Add '31' to each side of the equation. -31 + 31 + -6k = -27 + 31 Combine like terms: -31 + 31 = 0 0 + -6k = -27 + 31 -6k = -27 + 31 Combine like terms: -27 + 31 = 4 -6k = 4 Divide each side by '-6'. k = -0.6666666667 Simplifying k = -0.6666666667
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