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Simplifying -6(1 + 3k) = -1b + -6k (1 * -6 + 3k * -6) = -1b + -6k (-6 + -18k) = -1b + -6k Solving -6 + -18k = -1b + -6k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '6k' to each side of the equation. -6 + -18k + 6k = -1b + -6k + 6k Combine like terms: -18k + 6k = -12k -6 + -12k = -1b + -6k + 6k Combine like terms: -6k + 6k = 0 -6 + -12k = -1b + 0 -6 + -12k = -1b Add '6' to each side of the equation. -6 + 6 + -12k = 6 + -1b Combine like terms: -6 + 6 = 0 0 + -12k = 6 + -1b -12k = 6 + -1b Divide each side by '-12'. k = -0.5 + 0.08333333333b Simplifying k = -0.5 + 0.08333333333b
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