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Simplifying 2k = -3(k + 1) + 7 Reorder the terms: 2k = -3(1 + k) + 7 2k = (1 * -3 + k * -3) + 7 2k = (-3 + -3k) + 7 Reorder the terms: 2k = -3 + 7 + -3k Combine like terms: -3 + 7 = 4 2k = 4 + -3k Solving 2k = 4 + -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. 2k + 3k = 4 + -3k + 3k Combine like terms: 2k + 3k = 5k 5k = 4 + -3k + 3k Combine like terms: -3k + 3k = 0 5k = 4 + 0 5k = 4 Divide each side by '5'. k = 0.8 Simplifying k = 0.8
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