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Simplifying -5(1 + -7k) = -38 + 2k (1 * -5 + -7k * -5) = -38 + 2k (-5 + 35k) = -38 + 2k Solving -5 + 35k = -38 + 2k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-2k' to each side of the equation. -5 + 35k + -2k = -38 + 2k + -2k Combine like terms: 35k + -2k = 33k -5 + 33k = -38 + 2k + -2k Combine like terms: 2k + -2k = 0 -5 + 33k = -38 + 0 -5 + 33k = -38 Add '5' to each side of the equation. -5 + 5 + 33k = -38 + 5 Combine like terms: -5 + 5 = 0 0 + 33k = -38 + 5 33k = -38 + 5 Combine like terms: -38 + 5 = -33 33k = -33 Divide each side by '33'. k = -1 Simplifying k = -1
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