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Simplifying 6(k + 2) = -2(4k + -5) Reorder the terms: 6(2 + k) = -2(4k + -5) (2 * 6 + k * 6) = -2(4k + -5) (12 + 6k) = -2(4k + -5) Reorder the terms: 12 + 6k = -2(-5 + 4k) 12 + 6k = (-5 * -2 + 4k * -2) 12 + 6k = (10 + -8k) Solving 12 + 6k = 10 + -8k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '8k' to each side of the equation. 12 + 6k + 8k = 10 + -8k + 8k Combine like terms: 6k + 8k = 14k 12 + 14k = 10 + -8k + 8k Combine like terms: -8k + 8k = 0 12 + 14k = 10 + 0 12 + 14k = 10 Add '-12' to each side of the equation. 12 + -12 + 14k = 10 + -12 Combine like terms: 12 + -12 = 0 0 + 14k = 10 + -12 14k = 10 + -12 Combine like terms: 10 + -12 = -2 14k = -2 Divide each side by '14'. k = -0.1428571429 Simplifying k = -0.1428571429
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