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Simplifying 8(k + -5) + -1(2 + 7k) = 4 Reorder the terms: 8(-5 + k) + -1(2 + 7k) = 4 (-5 * 8 + k * 8) + -1(2 + 7k) = 4 (-40 + 8k) + -1(2 + 7k) = 4 -40 + 8k + (2 * -1 + 7k * -1) = 4 -40 + 8k + (-2 + -7k) = 4 Reorder the terms: -40 + -2 + 8k + -7k = 4 Combine like terms: -40 + -2 = -42 -42 + 8k + -7k = 4 Combine like terms: 8k + -7k = 1k -42 + 1k = 4 Solving -42 + 1k = 4 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '42' to each side of the equation. -42 + 42 + 1k = 4 + 42 Combine like terms: -42 + 42 = 0 0 + 1k = 4 + 42 1k = 4 + 42 Combine like terms: 4 + 42 = 46 1k = 46 Divide each side by '1'. k = 46 Simplifying k = 46
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