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Simplifying (6k + 8) + -1(7 + -6k) = 0 Reorder the terms: (8 + 6k) + -1(7 + -6k) = 0 Remove parenthesis around (8 + 6k) 8 + 6k + -1(7 + -6k) = 0 8 + 6k + (7 * -1 + -6k * -1) = 0 8 + 6k + (-7 + 6k) = 0 Reorder the terms: 8 + -7 + 6k + 6k = 0 Combine like terms: 8 + -7 = 1 1 + 6k + 6k = 0 Combine like terms: 6k + 6k = 12k 1 + 12k = 0 Solving 1 + 12k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 12k = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 12k = 0 + -1 12k = 0 + -1 Combine like terms: 0 + -1 = -1 12k = -1 Divide each side by '12'. k = -0.08333333333 Simplifying k = -0.08333333333
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