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Simplifying 2(k + 5) = -2(3k + -6) Reorder the terms: 2(5 + k) = -2(3k + -6) (5 * 2 + k * 2) = -2(3k + -6) (10 + 2k) = -2(3k + -6) Reorder the terms: 10 + 2k = -2(-6 + 3k) 10 + 2k = (-6 * -2 + 3k * -2) 10 + 2k = (12 + -6k) Solving 10 + 2k = 12 + -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 + 2k + 6k = 12 + -6k + 6k Combine like terms: 2k + 6k = 8k 10 + 8k = 12 + -6k + 6k Combine like terms: -6k + 6k = 0 10 + 8k = 12 + 0 10 + 8k = 12 Add '-10' to each side of the equation. 10 + -10 + 8k = 12 + -10 Combine like terms: 10 + -10 = 0 0 + 8k = 12 + -10 8k = 12 + -10 Combine like terms: 12 + -10 = 2 8k = 2 Divide each side by '8'. k = 0.25 Simplifying k = 0.25
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