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Simplifying 89 = -3(5k + -3) + -1k Reorder the terms: 89 = -3(-3 + 5k) + -1k 89 = (-3 * -3 + 5k * -3) + -1k 89 = (9 + -15k) + -1k Combine like terms: -15k + -1k = -16k 89 = 9 + -16k Solving 89 = 9 + -16k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '16k' to each side of the equation. 89 + 16k = 9 + -16k + 16k Combine like terms: -16k + 16k = 0 89 + 16k = 9 + 0 89 + 16k = 9 Add '-89' to each side of the equation. 89 + -89 + 16k = 9 + -89 Combine like terms: 89 + -89 = 0 0 + 16k = 9 + -89 16k = 9 + -89 Combine like terms: 9 + -89 = -80 16k = -80 Divide each side by '16'. k = -5 Simplifying k = -5
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