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Simplifying -9(10k + -14) + -6k = -6(17k + 12) Reorder the terms: -9(-14 + 10k) + -6k = -6(17k + 12) (-14 * -9 + 10k * -9) + -6k = -6(17k + 12) (126 + -90k) + -6k = -6(17k + 12) Combine like terms: -90k + -6k = -96k 126 + -96k = -6(17k + 12) Reorder the terms: 126 + -96k = -6(12 + 17k) 126 + -96k = (12 * -6 + 17k * -6) 126 + -96k = (-72 + -102k) Solving 126 + -96k = -72 + -102k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '102k' to each side of the equation. 126 + -96k + 102k = -72 + -102k + 102k Combine like terms: -96k + 102k = 6k 126 + 6k = -72 + -102k + 102k Combine like terms: -102k + 102k = 0 126 + 6k = -72 + 0 126 + 6k = -72 Add '-126' to each side of the equation. 126 + -126 + 6k = -72 + -126 Combine like terms: 126 + -126 = 0 0 + 6k = -72 + -126 6k = -72 + -126 Combine like terms: -72 + -126 = -198 6k = -198 Divide each side by '6'. k = -33 Simplifying k = -33
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