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Simplifying -18 + -16 = 6(1 + 3k) Combine like terms: -18 + -16 = -34 -34 = 6(1 + 3k) -34 = (1 * 6 + 3k * 6) -34 = (6 + 18k) Solving -34 = 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. -34 + -18k = 6 + 18k + -18k Combine like terms: 18k + -18k = 0 -34 + -18k = 6 + 0 -34 + -18k = 6 Add '34' to each side of the equation. -34 + 34 + -18k = 6 + 34 Combine like terms: -34 + 34 = 0 0 + -18k = 6 + 34 -18k = 6 + 34 Combine like terms: 6 + 34 = 40 -18k = 40 Divide each side by '-18'. k = -2.222222222 Simplifying k = -2.222222222
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