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Simplifying 4k + 44 = 10k + -1 Reorder the terms: 44 + 4k = 10k + -1 Reorder the terms: 44 + 4k = -1 + 10k Solving 44 + 4k = -1 + 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 = -1 + 10k + -10k Combine like terms: 4k + -10k = -6k 44 + -6k = -1 + 10k + -10k Combine like terms: 10k + -10k = 0 44 + -6k = -1 + 0 44 + -6k = -1 Add '-44' to each side of the equation. 44 + -44 + -6k = -1 + -44 Combine like terms: 44 + -44 = 0 0 + -6k = -1 + -44 -6k = -1 + -44 Combine like terms: -1 + -44 = -45 -6k = -45 Divide each side by '-6'. k = 7.5 Simplifying k = 7.5
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