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Simplifying -1k + -8(8k + -6) = -16 + -1k Reorder the terms: -1k + -8(-6 + 8k) = -16 + -1k -1k + (-6 * -8 + 8k * -8) = -16 + -1k -1k + (48 + -64k) = -16 + -1k Reorder the terms: 48 + -1k + -64k = -16 + -1k Combine like terms: -1k + -64k = -65k 48 + -65k = -16 + -1k Solving 48 + -65k = -16 + -1k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add 'k' to each side of the equation. 48 + -65k + k = -16 + -1k + k Combine like terms: -65k + k = -64k 48 + -64k = -16 + -1k + k Combine like terms: -1k + k = 0 48 + -64k = -16 + 0 48 + -64k = -16 Add '-48' to each side of the equation. 48 + -48 + -64k = -16 + -48 Combine like terms: 48 + -48 = 0 0 + -64k = -16 + -48 -64k = -16 + -48 Combine like terms: -16 + -48 = -64 -64k = -64 Divide each side by '-64'. k = 1 Simplifying k = 1
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