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Simplifying -9 + 3k + 5k = 7 + 4k Combine like terms: 3k + 5k = 8k -9 + 8k = 7 + 4k Solving -9 + 8k = 7 + 4k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-4k' to each side of the equation. -9 + 8k + -4k = 7 + 4k + -4k Combine like terms: 8k + -4k = 4k -9 + 4k = 7 + 4k + -4k Combine like terms: 4k + -4k = 0 -9 + 4k = 7 + 0 -9 + 4k = 7 Add '9' to each side of the equation. -9 + 9 + 4k = 7 + 9 Combine like terms: -9 + 9 = 0 0 + 4k = 7 + 9 4k = 7 + 9 Combine like terms: 7 + 9 = 16 4k = 16 Divide each side by '4'. k = 4 Simplifying k = 4
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