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Simplifying -8(k + -4) + -1(-9 + -8) = 8 Reorder the terms: -8(-4 + k) + -1(-9 + -8) = 8 (-4 * -8 + k * -8) + -1(-9 + -8) = 8 (32 + -8k) + -1(-9 + -8) = 8 Combine like terms: -9 + -8 = -17 32 + -8k + -1(-17) = 8 Multiply -1 * -17 32 + -8k + 17 = 8 Reorder the terms: 32 + 17 + -8k = 8 Combine like terms: 32 + 17 = 49 49 + -8k = 8 Solving 49 + -8k = 8 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-49' to each side of the equation. 49 + -49 + -8k = 8 + -49 Combine like terms: 49 + -49 = 0 0 + -8k = 8 + -49 -8k = 8 + -49 Combine like terms: 8 + -49 = -41 -8k = -41 Divide each side by '-8'. k = 5.125 Simplifying k = 5.125
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