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Simplifying 4(k + -9) + -1(3k + 5) = -2 Reorder the terms: 4(-9 + k) + -1(3k + 5) = -2 (-9 * 4 + k * 4) + -1(3k + 5) = -2 (-36 + 4k) + -1(3k + 5) = -2 Reorder the terms: -36 + 4k + -1(5 + 3k) = -2 -36 + 4k + (5 * -1 + 3k * -1) = -2 -36 + 4k + (-5 + -3k) = -2 Reorder the terms: -36 + -5 + 4k + -3k = -2 Combine like terms: -36 + -5 = -41 -41 + 4k + -3k = -2 Combine like terms: 4k + -3k = 1k -41 + 1k = -2 Solving -41 + 1k = -2 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '41' to each side of the equation. -41 + 41 + 1k = -2 + 41 Combine like terms: -41 + 41 = 0 0 + 1k = -2 + 41 1k = -2 + 41 Combine like terms: -2 + 41 = 39 1k = 39 Divide each side by '1'. k = 39 Simplifying k = 39
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