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Simplifying 5(k + 2) + -2k = 4(k + 1) Reorder the terms: 5(2 + k) + -2k = 4(k + 1) (2 * 5 + k * 5) + -2k = 4(k + 1) (10 + 5k) + -2k = 4(k + 1) Combine like terms: 5k + -2k = 3k 10 + 3k = 4(k + 1) Reorder the terms: 10 + 3k = 4(1 + k) 10 + 3k = (1 * 4 + k * 4) 10 + 3k = (4 + 4k) Solving 10 + 3k = 4 + 4k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-4k' to each side of the equation. 10 + 3k + -4k = 4 + 4k + -4k Combine like terms: 3k + -4k = -1k 10 + -1k = 4 + 4k + -4k Combine like terms: 4k + -4k = 0 10 + -1k = 4 + 0 10 + -1k = 4 Add '-10' to each side of the equation. 10 + -10 + -1k = 4 + -10 Combine like terms: 10 + -10 = 0 0 + -1k = 4 + -10 -1k = 4 + -10 Combine like terms: 4 + -10 = -6 -1k = -6 Divide each side by '-1'. k = 6 Simplifying k = 6
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