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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 = 14k 89 = -9 + 14k Solving 89 = -9 + 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. 89 + -14k = -9 + 14k + -14k Combine like terms: 14k + -14k = 0 89 + -14k = -9 + 0 89 + -14k = -9 Add '-89' to each side of the equation. 89 + -89 + -14k = -9 + -89 Combine like terms: 89 + -89 = 0 0 + -14k = -9 + -89 -14k = -9 + -89 Combine like terms: -9 + -89 = -98 -14k = -98 Divide each side by '-14'. k = 7 Simplifying k = 7
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