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Simplifying 16 = -8(1 + 8k) + -3(-7k + -8) 16 = (1 * -8 + 8k * -8) + -3(-7k + -8) 16 = (-8 + -64k) + -3(-7k + -8) Reorder the terms: 16 = -8 + -64k + -3(-8 + -7k) 16 = -8 + -64k + (-8 * -3 + -7k * -3) 16 = -8 + -64k + (24 + 21k) Reorder the terms: 16 = -8 + 24 + -64k + 21k Combine like terms: -8 + 24 = 16 16 = 16 + -64k + 21k Combine like terms: -64k + 21k = -43k 16 = 16 + -43k Add '-16' to each side of the equation. 16 + -16 = 16 + -16 + -43k Combine like terms: 16 + -16 = 0 0 = 16 + -16 + -43k Combine like terms: 16 + -16 = 0 0 = 0 + -43k 0 = -43k Solving 0 = -43k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '43k' to each side of the equation. 0 + 43k = -43k + 43k Remove the zero: 43k = -43k + 43k Combine like terms: -43k + 43k = 0 43k = 0 Divide each side by '43'. k = 0 Simplifying k = 0
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