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Simplifying 4k + -7 = 8k + 17 Reorder the terms: -7 + 4k = 8k + 17 Reorder the terms: -7 + 4k = 17 + 8k Solving -7 + 4k = 17 + 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. -7 + 4k + -8k = 17 + 8k + -8k Combine like terms: 4k + -8k = -4k -7 + -4k = 17 + 8k + -8k Combine like terms: 8k + -8k = 0 -7 + -4k = 17 + 0 -7 + -4k = 17 Add '7' to each side of the equation. -7 + 7 + -4k = 17 + 7 Combine like terms: -7 + 7 = 0 0 + -4k = 17 + 7 -4k = 17 + 7 Combine like terms: 17 + 7 = 24 -4k = 24 Divide each side by '-4'. k = -6 Simplifying k = -6
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