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Simplifying 8(8 + -1k) = -3(k + -5) (8 * 8 + -1k * 8) = -3(k + -5) (64 + -8k) = -3(k + -5) Reorder the terms: 64 + -8k = -3(-5 + k) 64 + -8k = (-5 * -3 + k * -3) 64 + -8k = (15 + -3k) Solving 64 + -8k = 15 + -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. 64 + -8k + 3k = 15 + -3k + 3k Combine like terms: -8k + 3k = -5k 64 + -5k = 15 + -3k + 3k Combine like terms: -3k + 3k = 0 64 + -5k = 15 + 0 64 + -5k = 15 Add '-64' to each side of the equation. 64 + -64 + -5k = 15 + -64 Combine like terms: 64 + -64 = 0 0 + -5k = 15 + -64 -5k = 15 + -64 Combine like terms: 15 + -64 = -49 -5k = -49 Divide each side by '-5'. k = 9.8 Simplifying k = 9.8
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