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Simplifying 5(k + -9) + -2k = -6(k + 7) + -3 Reorder the terms: 5(-9 + k) + -2k = -6(k + 7) + -3 (-9 * 5 + k * 5) + -2k = -6(k + 7) + -3 (-45 + 5k) + -2k = -6(k + 7) + -3 Combine like terms: 5k + -2k = 3k -45 + 3k = -6(k + 7) + -3 Reorder the terms: -45 + 3k = -6(7 + k) + -3 -45 + 3k = (7 * -6 + k * -6) + -3 -45 + 3k = (-42 + -6k) + -3 Reorder the terms: -45 + 3k = -42 + -3 + -6k Combine like terms: -42 + -3 = -45 -45 + 3k = -45 + -6k Add '45' to each side of the equation. -45 + 45 + 3k = -45 + 45 + -6k Combine like terms: -45 + 45 = 0 0 + 3k = -45 + 45 + -6k 3k = -45 + 45 + -6k Combine like terms: -45 + 45 = 0 3k = 0 + -6k 3k = -6k Solving 3k = -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. 3k + 6k = -6k + 6k Combine like terms: 3k + 6k = 9k 9k = -6k + 6k Combine like terms: -6k + 6k = 0 9k = 0 Divide each side by '9'. k = 0 Simplifying k = 0
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