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Simplifying -10k + 9 + 1k = 4k + -4 Reorder the terms: 9 + -10k + 1k = 4k + -4 Combine like terms: -10k + 1k = -9k 9 + -9k = 4k + -4 Reorder the terms: 9 + -9k = -4 + 4k Solving 9 + -9k = -4 + 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 + -9k + -4k = -4 + 4k + -4k Combine like terms: -9k + -4k = -13k 9 + -13k = -4 + 4k + -4k Combine like terms: 4k + -4k = 0 9 + -13k = -4 + 0 9 + -13k = -4 Add '-9' to each side of the equation. 9 + -9 + -13k = -4 + -9 Combine like terms: 9 + -9 = 0 0 + -13k = -4 + -9 -13k = -4 + -9 Combine like terms: -4 + -9 = -13 -13k = -13 Divide each side by '-13'. k = 1 Simplifying k = 1
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