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Simplifying -8k + 16 = -3(k + 3) Reorder the terms: 16 + -8k = -3(k + 3) Reorder the terms: 16 + -8k = -3(3 + k) 16 + -8k = (3 * -3 + k * -3) 16 + -8k = (-9 + -3k) Solving 16 + -8k = -9 + -3k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '3k' to each side of the equation. 16 + -8k + 3k = -9 + -3k + 3k Combine like terms: -8k + 3k = -5k 16 + -5k = -9 + -3k + 3k Combine like terms: -3k + 3k = 0 16 + -5k = -9 + 0 16 + -5k = -9 Add '-16' to each side of the equation. 16 + -16 + -5k = -9 + -16 Combine like terms: 16 + -16 = 0 0 + -5k = -9 + -16 -5k = -9 + -16 Combine like terms: -9 + -16 = -25 -5k = -25 Divide each side by '-5'. k = 5 Simplifying k = 5
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