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Simplifying -8(k + -8) + -1(4k + -9) = -13k Reorder the terms: -8(-8 + k) + -1(4k + -9) = -13k (-8 * -8 + k * -8) + -1(4k + -9) = -13k (64 + -8k) + -1(4k + -9) = -13k Reorder the terms: 64 + -8k + -1(-9 + 4k) = -13k 64 + -8k + (-9 * -1 + 4k * -1) = -13k 64 + -8k + (9 + -4k) = -13k Reorder the terms: 64 + 9 + -8k + -4k = -13k Combine like terms: 64 + 9 = 73 73 + -8k + -4k = -13k Combine like terms: -8k + -4k = -12k 73 + -12k = -13k Solving 73 + -12k = -13k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '13k' to each side of the equation. 73 + -12k + 13k = -13k + 13k Combine like terms: -12k + 13k = 1k 73 + 1k = -13k + 13k Combine like terms: -13k + 13k = 0 73 + 1k = 0 Add '-73' to each side of the equation. 73 + -73 + 1k = 0 + -73 Combine like terms: 73 + -73 = 0 0 + 1k = 0 + -73 1k = 0 + -73 Combine like terms: 0 + -73 = -73 1k = -73 Divide each side by '1'. k = -73 Simplifying k = -73
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