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Simplifying -8 = 2.5(k + -2) Reorder the terms: -8 = 2.5(-2 + k) -8 = (-2 * 2.5 + k * 2.5) -8 = (-5 + 2.5k) Solving -8 = -5 + 2.5k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-2.5k' to each side of the equation. -8 + -2.5k = -5 + 2.5k + -2.5k Combine like terms: 2.5k + -2.5k = 0.0 -8 + -2.5k = -5 + 0.0 -8 + -2.5k = -5 Add '8' to each side of the equation. -8 + 8 + -2.5k = -5 + 8 Combine like terms: -8 + 8 = 0 0 + -2.5k = -5 + 8 -2.5k = -5 + 8 Combine like terms: -5 + 8 = 3 -2.5k = 3 Divide each side by '-2.5'. k = -1.2 Simplifying k = -1.2
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