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Simplifying 7(4k + 15) = -18 + 9k + -10 Reorder the terms: 7(15 + 4k) = -18 + 9k + -10 (15 * 7 + 4k * 7) = -18 + 9k + -10 (105 + 28k) = -18 + 9k + -10 Reorder the terms: 105 + 28k = -18 + -10 + 9k Combine like terms: -18 + -10 = -28 105 + 28k = -28 + 9k Solving 105 + 28k = -28 + 9k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-9k' to each side of the equation. 105 + 28k + -9k = -28 + 9k + -9k Combine like terms: 28k + -9k = 19k 105 + 19k = -28 + 9k + -9k Combine like terms: 9k + -9k = 0 105 + 19k = -28 + 0 105 + 19k = -28 Add '-105' to each side of the equation. 105 + -105 + 19k = -28 + -105 Combine like terms: 105 + -105 = 0 0 + 19k = -28 + -105 19k = -28 + -105 Combine like terms: -28 + -105 = -133 19k = -133 Divide each side by '19'. k = -7 Simplifying k = -7
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