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Simplifying -3(3k + -8) + 5 = 7(1 + -3k) Reorder the terms: -3(-8 + 3k) + 5 = 7(1 + -3k) (-8 * -3 + 3k * -3) + 5 = 7(1 + -3k) (24 + -9k) + 5 = 7(1 + -3k) Reorder the terms: 24 + 5 + -9k = 7(1 + -3k) Combine like terms: 24 + 5 = 29 29 + -9k = 7(1 + -3k) 29 + -9k = (1 * 7 + -3k * 7) 29 + -9k = (7 + -21k) Solving 29 + -9k = 7 + -21k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '21k' to each side of the equation. 29 + -9k + 21k = 7 + -21k + 21k Combine like terms: -9k + 21k = 12k 29 + 12k = 7 + -21k + 21k Combine like terms: -21k + 21k = 0 29 + 12k = 7 + 0 29 + 12k = 7 Add '-29' to each side of the equation. 29 + -29 + 12k = 7 + -29 Combine like terms: 29 + -29 = 0 0 + 12k = 7 + -29 12k = 7 + -29 Combine like terms: 7 + -29 = -22 12k = -22 Divide each side by '12'. k = -1.833333333 Simplifying k = -1.833333333
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