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Simplifying -5(6 + -4k) = 14k + -12 (6 * -5 + -4k * -5) = 14k + -12 (-30 + 20k) = 14k + -12 Reorder the terms: -30 + 20k = -12 + 14k Solving -30 + 20k = -12 + 14k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-14k' to each side of the equation. -30 + 20k + -14k = -12 + 14k + -14k Combine like terms: 20k + -14k = 6k -30 + 6k = -12 + 14k + -14k Combine like terms: 14k + -14k = 0 -30 + 6k = -12 + 0 -30 + 6k = -12 Add '30' to each side of the equation. -30 + 30 + 6k = -12 + 30 Combine like terms: -30 + 30 = 0 0 + 6k = -12 + 30 6k = -12 + 30 Combine like terms: -12 + 30 = 18 6k = 18 Divide each side by '6'. k = 3 Simplifying k = 3
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