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Simplifying -81 + -6k = 6(1 + 3k) -81 + -6k = (1 * 6 + 3k * 6) -81 + -6k = (6 + 18k) Solving -81 + -6k = 6 + 18k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-18k' to each side of the equation. -81 + -6k + -18k = 6 + 18k + -18k Combine like terms: -6k + -18k = -24k -81 + -24k = 6 + 18k + -18k Combine like terms: 18k + -18k = 0 -81 + -24k = 6 + 0 -81 + -24k = 6 Add '81' to each side of the equation. -81 + 81 + -24k = 6 + 81 Combine like terms: -81 + 81 = 0 0 + -24k = 6 + 81 -24k = 6 + 81 Combine like terms: 6 + 81 = 87 -24k = 87 Divide each side by '-24'. k = -3.625 Simplifying k = -3.625
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