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Simplifying -1(1 + 7x) + -6(1 + 3k) = 36 (1 * -1 + 7x * -1) + -6(1 + 3k) = 36 (-1 + -7x) + -6(1 + 3k) = 36 -1 + -7x + (1 * -6 + 3k * -6) = 36 -1 + -7x + (-6 + -18k) = 36 Reorder the terms: -1 + -6 + -18k + -7x = 36 Combine like terms: -1 + -6 = -7 -7 + -18k + -7x = 36 Solving -7 + -18k + -7x = 36 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '7' to each side of the equation. -7 + -18k + 7 + -7x = 36 + 7 Reorder the terms: -7 + 7 + -18k + -7x = 36 + 7 Combine like terms: -7 + 7 = 0 0 + -18k + -7x = 36 + 7 -18k + -7x = 36 + 7 Combine like terms: 36 + 7 = 43 -18k + -7x = 43 Add '7x' to each side of the equation. -18k + -7x + 7x = 43 + 7x Combine like terms: -7x + 7x = 0 -18k + 0 = 43 + 7x -18k = 43 + 7x Divide each side by '-18'. k = -2.388888889 + -0.3888888889x Simplifying k = -2.388888889 + -0.3888888889x
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