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Simplifying 7(3k + 5) = 4k + -16 Reorder the terms: 7(5 + 3k) = 4k + -16 (5 * 7 + 3k * 7) = 4k + -16 (35 + 21k) = 4k + -16 Reorder the terms: 35 + 21k = -16 + 4k Solving 35 + 21k = -16 + 4k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-4k' to each side of the equation. 35 + 21k + -4k = -16 + 4k + -4k Combine like terms: 21k + -4k = 17k 35 + 17k = -16 + 4k + -4k Combine like terms: 4k + -4k = 0 35 + 17k = -16 + 0 35 + 17k = -16 Add '-35' to each side of the equation. 35 + -35 + 17k = -16 + -35 Combine like terms: 35 + -35 = 0 0 + 17k = -16 + -35 17k = -16 + -35 Combine like terms: -16 + -35 = -51 17k = -51 Divide each side by '17'. k = -3 Simplifying k = -3
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