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Simplifying -5(8 + k) = -55 (8 * -5 + k * -5) = -55 (-40 + -5k) = -55 Solving -40 + -5k = -55 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '40' to each side of the equation. -40 + 40 + -5k = -55 + 40 Combine like terms: -40 + 40 = 0 0 + -5k = -55 + 40 -5k = -55 + 40 Combine like terms: -55 + 40 = -15 -5k = -15 Divide each side by '-5'. k = 3 Simplifying k = 3
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