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Simplifying 2.6(k + -6.5) + -3.2 = 1.74 Reorder the terms: 2.6(-6.5 + k) + -3.2 = 1.74 (-6.5 * 2.6 + k * 2.6) + -3.2 = 1.74 (-16.9 + 2.6k) + -3.2 = 1.74 Reorder the terms: -16.9 + -3.2 + 2.6k = 1.74 Combine like terms: -16.9 + -3.2 = -20.1 -20.1 + 2.6k = 1.74 Solving -20.1 + 2.6k = 1.74 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '20.1' to each side of the equation. -20.1 + 20.1 + 2.6k = 1.74 + 20.1 Combine like terms: -20.1 + 20.1 = 0.0 0.0 + 2.6k = 1.74 + 20.1 2.6k = 1.74 + 20.1 Combine like terms: 1.74 + 20.1 = 21.84 2.6k = 21.84 Divide each side by '2.6'. k = 8.4 Simplifying k = 8.4
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