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Simplifying 2(k + 4) = -3k + 10 Reorder the terms: 2(4 + k) = -3k + 10 (4 * 2 + k * 2) = -3k + 10 (8 + 2k) = -3k + 10 Reorder the terms: 8 + 2k = 10 + -3k Solving 8 + 2k = 10 + -3k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '3k' to each side of the equation. 8 + 2k + 3k = 10 + -3k + 3k Combine like terms: 2k + 3k = 5k 8 + 5k = 10 + -3k + 3k Combine like terms: -3k + 3k = 0 8 + 5k = 10 + 0 8 + 5k = 10 Add '-8' to each side of the equation. 8 + -8 + 5k = 10 + -8 Combine like terms: 8 + -8 = 0 0 + 5k = 10 + -8 5k = 10 + -8 Combine like terms: 10 + -8 = 2 5k = 2 Divide each side by '5'. k = 0.4 Simplifying k = 0.4
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