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Simplifying 117 + -9k = 10k + 3 Reorder the terms: 117 + -9k = 3 + 10k Solving 117 + -9k = 3 + 10k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-10k' to each side of the equation. 117 + -9k + -10k = 3 + 10k + -10k Combine like terms: -9k + -10k = -19k 117 + -19k = 3 + 10k + -10k Combine like terms: 10k + -10k = 0 117 + -19k = 3 + 0 117 + -19k = 3 Add '-117' to each side of the equation. 117 + -117 + -19k = 3 + -117 Combine like terms: 117 + -117 = 0 0 + -19k = 3 + -117 -19k = 3 + -117 Combine like terms: 3 + -117 = -114 -19k = -114 Divide each side by '-19'. k = 6 Simplifying k = 6
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