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Simplifying 13 + -18 + -6k = 6(1 + 3k) Combine like terms: 13 + -18 = -5 -5 + -6k = 6(1 + 3k) -5 + -6k = (1 * 6 + 3k * 6) -5 + -6k = (6 + 18k) Solving -5 + -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. -5 + -6k + -18k = 6 + 18k + -18k Combine like terms: -6k + -18k = -24k -5 + -24k = 6 + 18k + -18k Combine like terms: 18k + -18k = 0 -5 + -24k = 6 + 0 -5 + -24k = 6 Add '5' to each side of the equation. -5 + 5 + -24k = 6 + 5 Combine like terms: -5 + 5 = 0 0 + -24k = 6 + 5 -24k = 6 + 5 Combine like terms: 6 + 5 = 11 -24k = 11 Divide each side by '-24'. k = -0.4583333333 Simplifying k = -0.4583333333
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