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Simplifying 4k + 44 = 10k + 10 Reorder the terms: 44 + 4k = 10k + 10 Reorder the terms: 44 + 4k = 10 + 10k Solving 44 + 4k = 10 + 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. 44 + 4k + -10k = 10 + 10k + -10k Combine like terms: 4k + -10k = -6k 44 + -6k = 10 + 10k + -10k Combine like terms: 10k + -10k = 0 44 + -6k = 10 + 0 44 + -6k = 10 Add '-44' to each side of the equation. 44 + -44 + -6k = 10 + -44 Combine like terms: 44 + -44 = 0 0 + -6k = 10 + -44 -6k = 10 + -44 Combine like terms: 10 + -44 = -34 -6k = -34 Divide each side by '-6'. k = 5.666666667 Simplifying k = 5.666666667
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