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Simplifying 4(k + -9) + -1(-6k + -5) = 9k Reorder the terms: 4(-9 + k) + -1(-6k + -5) = 9k (-9 * 4 + k * 4) + -1(-6k + -5) = 9k (-36 + 4k) + -1(-6k + -5) = 9k Reorder the terms: -36 + 4k + -1(-5 + -6k) = 9k -36 + 4k + (-5 * -1 + -6k * -1) = 9k -36 + 4k + (5 + 6k) = 9k Reorder the terms: -36 + 5 + 4k + 6k = 9k Combine like terms: -36 + 5 = -31 -31 + 4k + 6k = 9k Combine like terms: 4k + 6k = 10k -31 + 10k = 9k Solving -31 + 10k = 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. -31 + 10k + -9k = 9k + -9k Combine like terms: 10k + -9k = 1k -31 + 1k = 9k + -9k Combine like terms: 9k + -9k = 0 -31 + 1k = 0 Add '31' to each side of the equation. -31 + 31 + 1k = 0 + 31 Combine like terms: -31 + 31 = 0 0 + 1k = 0 + 31 1k = 0 + 31 Combine like terms: 0 + 31 = 31 1k = 31 Divide each side by '1'. k = 31 Simplifying k = 31
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