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Simplifying 9(k + -4) + -1(8k + -5) = 7 Reorder the terms: 9(-4 + k) + -1(8k + -5) = 7 (-4 * 9 + k * 9) + -1(8k + -5) = 7 (-36 + 9k) + -1(8k + -5) = 7 Reorder the terms: -36 + 9k + -1(-5 + 8k) = 7 -36 + 9k + (-5 * -1 + 8k * -1) = 7 -36 + 9k + (5 + -8k) = 7 Reorder the terms: -36 + 5 + 9k + -8k = 7 Combine like terms: -36 + 5 = -31 -31 + 9k + -8k = 7 Combine like terms: 9k + -8k = 1k -31 + 1k = 7 Solving -31 + 1k = 7 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '31' to each side of the equation. -31 + 31 + 1k = 7 + 31 Combine like terms: -31 + 31 = 0 0 + 1k = 7 + 31 1k = 7 + 31 Combine like terms: 7 + 31 = 38 1k = 38 Divide each side by '1'. k = 38 Simplifying k = 38
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