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Simplifying -18 = 15 + -3(6k + 5) Reorder the terms: -18 = 15 + -3(5 + 6k) -18 = 15 + (5 * -3 + 6k * -3) -18 = 15 + (-15 + -18k) Combine like terms: 15 + -15 = 0 -18 = 0 + -18k -18 = -18k Solving -18 = -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 + 18k = -18k + 18k Combine like terms: -18k + 18k = 0 -18 + 18k = 0 Add '18' to each side of the equation. -18 + 18 + 18k = 0 + 18 Combine like terms: -18 + 18 = 0 0 + 18k = 0 + 18 18k = 0 + 18 Combine like terms: 0 + 18 = 18 18k = 18 Divide each side by '18'. k = 1 Simplifying k = 1
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