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Simplifying -30 = -6(9k + 2) Reorder the terms: -30 = -6(2 + 9k) -30 = (2 * -6 + 9k * -6) -30 = (-12 + -54k) Solving -30 = -12 + -54k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '54k' to each side of the equation. -30 + 54k = -12 + -54k + 54k Combine like terms: -54k + 54k = 0 -30 + 54k = -12 + 0 -30 + 54k = -12 Add '30' to each side of the equation. -30 + 30 + 54k = -12 + 30 Combine like terms: -30 + 30 = 0 0 + 54k = -12 + 30 54k = -12 + 30 Combine like terms: -12 + 30 = 18 54k = 18 Divide each side by '54'. k = 0.3333333333 Simplifying k = 0.3333333333
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