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