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Simplifying -10 = -3(3k + 5) + -9 Reorder the terms: -10 = -3(5 + 3k) + -9 -10 = (5 * -3 + 3k * -3) + -9 -10 = (-15 + -9k) + -9 Reorder the terms: -10 = -15 + -9 + -9k Combine like terms: -15 + -9 = -24 -10 = -24 + -9k Solving -10 = -24 + -9k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '9k' to each side of the equation. -10 + 9k = -24 + -9k + 9k Combine like terms: -9k + 9k = 0 -10 + 9k = -24 + 0 -10 + 9k = -24 Add '10' to each side of the equation. -10 + 10 + 9k = -24 + 10 Combine like terms: -10 + 10 = 0 0 + 9k = -24 + 10 9k = -24 + 10 Combine like terms: -24 + 10 = -14 9k = -14 Divide each side by '9'. k = -1.555555556 Simplifying k = -1.555555556
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