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Simplifying 1 + -3k = 2(k + 5) Reorder the terms: 1 + -3k = 2(5 + k) 1 + -3k = (5 * 2 + k * 2) 1 + -3k = (10 + 2k) Solving 1 + -3k = 10 + 2k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-2k' to each side of the equation. 1 + -3k + -2k = 10 + 2k + -2k Combine like terms: -3k + -2k = -5k 1 + -5k = 10 + 2k + -2k Combine like terms: 2k + -2k = 0 1 + -5k = 10 + 0 1 + -5k = 10 Add '-1' to each side of the equation. 1 + -1 + -5k = 10 + -1 Combine like terms: 1 + -1 = 0 0 + -5k = 10 + -1 -5k = 10 + -1 Combine like terms: 10 + -1 = 9 -5k = 9 Divide each side by '-5'. k = -1.8 Simplifying k = -1.8
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