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Simplifying -120.536 = -6.1(2.1k + 8) Reorder the terms: -120.536 = -6.1(8 + 2.1k) -120.536 = (8 * -6.1 + 2.1k * -6.1) -120.536 = (-48.8 + -12.81k) Solving -120.536 = -48.8 + -12.81k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '12.81k' to each side of the equation. -120.536 + 12.81k = -48.8 + -12.81k + 12.81k Combine like terms: -12.81k + 12.81k = 0.00 -120.536 + 12.81k = -48.8 + 0.00 -120.536 + 12.81k = -48.8 Add '120.536' to each side of the equation. -120.536 + 120.536 + 12.81k = -48.8 + 120.536 Combine like terms: -120.536 + 120.536 = 0.000 0.000 + 12.81k = -48.8 + 120.536 12.81k = -48.8 + 120.536 Combine like terms: -48.8 + 120.536 = 71.736 12.81k = 71.736 Divide each side by '12.81'. k = 5.6 Simplifying k = 5.6
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