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Simplifying -15.5 = -6(3.5k + 6.5) Reorder the terms: -15.5 = -6(6.5 + 3.5k) -15.5 = (6.5 * -6 + 3.5k * -6) -15.5 = (-39 + -21k) Solving -15.5 = -39 + -21k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '21k' to each side of the equation. -15.5 + 21k = -39 + -21k + 21k Combine like terms: -21k + 21k = 0 -15.5 + 21k = -39 + 0 -15.5 + 21k = -39 Add '15.5' to each side of the equation. -15.5 + 15.5 + 21k = -39 + 15.5 Combine like terms: -15.5 + 15.5 = 0.0 0.0 + 21k = -39 + 15.5 21k = -39 + 15.5 Combine like terms: -39 + 15.5 = -23.5 21k = -23.5 Divide each side by '21'. k = -1.119047619 Simplifying k = -1.119047619
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