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Simplifying -5(8 + -7k) + 7(1 + 5k) = -33 (8 * -5 + -7k * -5) + 7(1 + 5k) = -33 (-40 + 35k) + 7(1 + 5k) = -33 -40 + 35k + (1 * 7 + 5k * 7) = -33 -40 + 35k + (7 + 35k) = -33 Reorder the terms: -40 + 7 + 35k + 35k = -33 Combine like terms: -40 + 7 = -33 -33 + 35k + 35k = -33 Combine like terms: 35k + 35k = 70k -33 + 70k = -33 Add '33' to each side of the equation. -33 + 33 + 70k = -33 + 33 Combine like terms: -33 + 33 = 0 0 + 70k = -33 + 33 70k = -33 + 33 Combine like terms: -33 + 33 = 0 70k = 0 Solving 70k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Divide each side by '70'. k = 0.0 Simplifying k = 0.0
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