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Simplifying 9(k + -6) + -1(8k + -4) = -7 Reorder the terms: 9(-6 + k) + -1(8k + -4) = -7 (-6 * 9 + k * 9) + -1(8k + -4) = -7 (-54 + 9k) + -1(8k + -4) = -7 Reorder the terms: -54 + 9k + -1(-4 + 8k) = -7 -54 + 9k + (-4 * -1 + 8k * -1) = -7 -54 + 9k + (4 + -8k) = -7 Reorder the terms: -54 + 4 + 9k + -8k = -7 Combine like terms: -54 + 4 = -50 -50 + 9k + -8k = -7 Combine like terms: 9k + -8k = 1k -50 + 1k = -7 Solving -50 + 1k = -7 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '50' to each side of the equation. -50 + 50 + 1k = -7 + 50 Combine like terms: -50 + 50 = 0 0 + 1k = -7 + 50 1k = -7 + 50 Combine like terms: -7 + 50 = 43 1k = 43 Divide each side by '1'. k = 43 Simplifying k = 43
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