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Simplifying 18 + 3k = 3 + -5(k + -3) Reorder the terms: 18 + 3k = 3 + -5(-3 + k) 18 + 3k = 3 + (-3 * -5 + k * -5) 18 + 3k = 3 + (15 + -5k) Combine like terms: 3 + 15 = 18 18 + 3k = 18 + -5k Add '-18' to each side of the equation. 18 + -18 + 3k = 18 + -18 + -5k Combine like terms: 18 + -18 = 0 0 + 3k = 18 + -18 + -5k 3k = 18 + -18 + -5k Combine like terms: 18 + -18 = 0 3k = 0 + -5k 3k = -5k Solving 3k = -5k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '5k' to each side of the equation. 3k + 5k = -5k + 5k Combine like terms: 3k + 5k = 8k 8k = -5k + 5k Combine like terms: -5k + 5k = 0 8k = 0 Divide each side by '8'. k = 0 Simplifying k = 0
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