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Simplifying -3(3k + -8) + 5k = 7(1 + -3k) Reorder the terms: -3(-8 + 3k) + 5k = 7(1 + -3k) (-8 * -3 + 3k * -3) + 5k = 7(1 + -3k) (24 + -9k) + 5k = 7(1 + -3k) Combine like terms: -9k + 5k = -4k 24 + -4k = 7(1 + -3k) 24 + -4k = (1 * 7 + -3k * 7) 24 + -4k = (7 + -21k) Solving 24 + -4k = 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. 24 + -4k + 21k = 7 + -21k + 21k Combine like terms: -4k + 21k = 17k 24 + 17k = 7 + -21k + 21k Combine like terms: -21k + 21k = 0 24 + 17k = 7 + 0 24 + 17k = 7 Add '-24' to each side of the equation. 24 + -24 + 17k = 7 + -24 Combine like terms: 24 + -24 = 0 0 + 17k = 7 + -24 17k = 7 + -24 Combine like terms: 7 + -24 = -17 17k = -17 Divide each side by '17'. k = -1 Simplifying k = -1
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