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Simplifying 4k + 1 = 8k + 7 Reorder the terms: 1 + 4k = 8k + 7 Reorder the terms: 1 + 4k = 7 + 8k Solving 1 + 4k = 7 + 8k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-8k' to each side of the equation. 1 + 4k + -8k = 7 + 8k + -8k Combine like terms: 4k + -8k = -4k 1 + -4k = 7 + 8k + -8k Combine like terms: 8k + -8k = 0 1 + -4k = 7 + 0 1 + -4k = 7 Add '-1' to each side of the equation. 1 + -1 + -4k = 7 + -1 Combine like terms: 1 + -1 = 0 0 + -4k = 7 + -1 -4k = 7 + -1 Combine like terms: 7 + -1 = 6 -4k = 6 Divide each side by '-4'. k = -1.5 Simplifying k = -1.5
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