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Simplifying -7 + -1k + 8 = 8(-8k + 6) Reorder the terms: -7 + 8 + -1k = 8(-8k + 6) Combine like terms: -7 + 8 = 1 1 + -1k = 8(-8k + 6) Reorder the terms: 1 + -1k = 8(6 + -8k) 1 + -1k = (6 * 8 + -8k * 8) 1 + -1k = (48 + -64k) Solving 1 + -1k = 48 + -64k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '64k' to each side of the equation. 1 + -1k + 64k = 48 + -64k + 64k Combine like terms: -1k + 64k = 63k 1 + 63k = 48 + -64k + 64k Combine like terms: -64k + 64k = 0 1 + 63k = 48 + 0 1 + 63k = 48 Add '-1' to each side of the equation. 1 + -1 + 63k = 48 + -1 Combine like terms: 1 + -1 = 0 0 + 63k = 48 + -1 63k = 48 + -1 Combine like terms: 48 + -1 = 47 63k = 47 Divide each side by '63'. k = 0.746031746 Simplifying k = 0.746031746
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