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Simplifying 3k + 1 = 4k + 8 + 9k Reorder the terms: 1 + 3k = 4k + 8 + 9k Reorder the terms: 1 + 3k = 8 + 4k + 9k Combine like terms: 4k + 9k = 13k 1 + 3k = 8 + 13k Solving 1 + 3k = 8 + 13k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-13k' to each side of the equation. 1 + 3k + -13k = 8 + 13k + -13k Combine like terms: 3k + -13k = -10k 1 + -10k = 8 + 13k + -13k Combine like terms: 13k + -13k = 0 1 + -10k = 8 + 0 1 + -10k = 8 Add '-1' to each side of the equation. 1 + -1 + -10k = 8 + -1 Combine like terms: 1 + -1 = 0 0 + -10k = 8 + -1 -10k = 8 + -1 Combine like terms: 8 + -1 = 7 -10k = 7 Divide each side by '-10'. k = -0.7 Simplifying k = -0.7
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