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Simplifying 6(9k + -7) = -30 Reorder the terms: 6(-7 + 9k) = -30 (-7 * 6 + 9k * 6) = -30 (-42 + 54k) = -30 Solving -42 + 54k = -30 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '42' to each side of the equation. -42 + 42 + 54k = -30 + 42 Combine like terms: -42 + 42 = 0 0 + 54k = -30 + 42 54k = -30 + 42 Combine like terms: -30 + 42 = 12 54k = 12 Divide each side by '54'. k = 0.2222222222 Simplifying k = 0.2222222222
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