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Simplifying -344 = -8(1 + -6k) -344 = (1 * -8 + -6k * -8) -344 = (-8 + 48k) Solving -344 = -8 + 48k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-48k' to each side of the equation. -344 + -48k = -8 + 48k + -48k Combine like terms: 48k + -48k = 0 -344 + -48k = -8 + 0 -344 + -48k = -8 Add '344' to each side of the equation. -344 + 344 + -48k = -8 + 344 Combine like terms: -344 + 344 = 0 0 + -48k = -8 + 344 -48k = -8 + 344 Combine like terms: -8 + 344 = 336 -48k = 336 Divide each side by '-48'. k = -7 Simplifying k = -7
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