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Simplifying 200 = 2 + -6(3 + -8k) 200 = 2 + (3 * -6 + -8k * -6) 200 = 2 + (-18 + 48k) Combine like terms: 2 + -18 = -16 200 = -16 + 48k Solving 200 = -16 + 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. 200 + -48k = -16 + 48k + -48k Combine like terms: 48k + -48k = 0 200 + -48k = -16 + 0 200 + -48k = -16 Add '-200' to each side of the equation. 200 + -200 + -48k = -16 + -200 Combine like terms: 200 + -200 = 0 0 + -48k = -16 + -200 -48k = -16 + -200 Combine like terms: -16 + -200 = -216 -48k = -216 Divide each side by '-48'. k = 4.5 Simplifying k = 4.5
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