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Simplifying -16 = -8(8k + 6) + 4(7k + 8) Reorder the terms: -16 = -8(6 + 8k) + 4(7k + 8) -16 = (6 * -8 + 8k * -8) + 4(7k + 8) -16 = (-48 + -64k) + 4(7k + 8) Reorder the terms: -16 = -48 + -64k + 4(8 + 7k) -16 = -48 + -64k + (8 * 4 + 7k * 4) -16 = -48 + -64k + (32 + 28k) Reorder the terms: -16 = -48 + 32 + -64k + 28k Combine like terms: -48 + 32 = -16 -16 = -16 + -64k + 28k Combine like terms: -64k + 28k = -36k -16 = -16 + -36k Add '16' to each side of the equation. -16 + 16 = -16 + 16 + -36k Combine like terms: -16 + 16 = 0 0 = -16 + 16 + -36k Combine like terms: -16 + 16 = 0 0 = 0 + -36k 0 = -36k Solving 0 = -36k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '36k' to each side of the equation. 0 + 36k = -36k + 36k Remove the zero: 36k = -36k + 36k Combine like terms: -36k + 36k = 0 36k = 0 Divide each side by '36'. k = 0 Simplifying k = 0
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