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Simplifying -7(7 + -6k) + 3k = 86 (7 * -7 + -6k * -7) + 3k = 86 (-49 + 42k) + 3k = 86 Combine like terms: 42k + 3k = 45k -49 + 45k = 86 Solving -49 + 45k = 86 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '49' to each side of the equation. -49 + 49 + 45k = 86 + 49 Combine like terms: -49 + 49 = 0 0 + 45k = 86 + 49 45k = 86 + 49 Combine like terms: 86 + 49 = 135 45k = 135 Divide each side by '45'. k = 3 Simplifying k = 3
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