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Simplifying 2.6(k + -5) = 6.5 Reorder the terms: 2.6(-5 + k) = 6.5 (-5 * 2.6 + k * 2.6) = 6.5 (-13 + 2.6k) = 6.5 Solving -13 + 2.6k = 6.5 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '13' to each side of the equation. -13 + 13 + 2.6k = 6.5 + 13 Combine like terms: -13 + 13 = 0 0 + 2.6k = 6.5 + 13 2.6k = 6.5 + 13 Combine like terms: 6.5 + 13 = 19.5 2.6k = 19.5 Divide each side by '2.6'. k = 7.5 Simplifying k = 7.5
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