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Simplifying -8(k + 1) + -1(-9k + -5) = -2 Reorder the terms: -8(1 + k) + -1(-9k + -5) = -2 (1 * -8 + k * -8) + -1(-9k + -5) = -2 (-8 + -8k) + -1(-9k + -5) = -2 Reorder the terms: -8 + -8k + -1(-5 + -9k) = -2 -8 + -8k + (-5 * -1 + -9k * -1) = -2 -8 + -8k + (5 + 9k) = -2 Reorder the terms: -8 + 5 + -8k + 9k = -2 Combine like terms: -8 + 5 = -3 -3 + -8k + 9k = -2 Combine like terms: -8k + 9k = 1k -3 + 1k = -2 Solving -3 + 1k = -2 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + 1k = -2 + 3 Combine like terms: -3 + 3 = 0 0 + 1k = -2 + 3 1k = -2 + 3 Combine like terms: -2 + 3 = 1 1k = 1 Divide each side by '1'. k = 1 Simplifying k = 1
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