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Simplifying 5k + 4 = 10k + -6 Reorder the terms: 4 + 5k = 10k + -6 Reorder the terms: 4 + 5k = -6 + 10k Solving 4 + 5k = -6 + 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. 4 + 5k + -10k = -6 + 10k + -10k Combine like terms: 5k + -10k = -5k 4 + -5k = -6 + 10k + -10k Combine like terms: 10k + -10k = 0 4 + -5k = -6 + 0 4 + -5k = -6 Add '-4' to each side of the equation. 4 + -4 + -5k = -6 + -4 Combine like terms: 4 + -4 = 0 0 + -5k = -6 + -4 -5k = -6 + -4 Combine like terms: -6 + -4 = -10 -5k = -10 Divide each side by '-5'. k = 2 Simplifying k = 2
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