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Simplifying 5(5 + 2) + -9(k + -4) = 2 Combine like terms: 5 + 2 = 7 5(7) + -9(k + -4) = 2 Multiply 5 * 7 35 + -9(k + -4) = 2 Reorder the terms: 35 + -9(-4 + k) = 2 35 + (-4 * -9 + k * -9) = 2 35 + (36 + -9k) = 2 Combine like terms: 35 + 36 = 71 71 + -9k = 2 Solving 71 + -9k = 2 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-71' to each side of the equation. 71 + -71 + -9k = 2 + -71 Combine like terms: 71 + -71 = 0 0 + -9k = 2 + -71 -9k = 2 + -71 Combine like terms: 2 + -71 = -69 -9k = -69 Divide each side by '-9'. k = 7.666666667 Simplifying k = 7.666666667
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