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Simplifying 18 + -16k = 6(1 + 3k) 18 + -16k = (1 * 6 + 3k * 6) 18 + -16k = (6 + 18k) Solving 18 + -16k = 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. 18 + -16k + -18k = 6 + 18k + -18k Combine like terms: -16k + -18k = -34k 18 + -34k = 6 + 18k + -18k Combine like terms: 18k + -18k = 0 18 + -34k = 6 + 0 18 + -34k = 6 Add '-18' to each side of the equation. 18 + -18 + -34k = 6 + -18 Combine like terms: 18 + -18 = 0 0 + -34k = 6 + -18 -34k = 6 + -18 Combine like terms: 6 + -18 = -12 -34k = -12 Divide each side by '-34'. k = 0.3529411765 Simplifying k = 0.3529411765
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