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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 = 24 -34k = 24 Divide each side by '-34'. k = -0.7058823529 Simplifying k = -0.7058823529
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