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Simplifying k + -18 + 8k = 4(k + 3) Reorder the terms: -18 + k + 8k = 4(k + 3) Combine like terms: k + 8k = 9k -18 + 9k = 4(k + 3) Reorder the terms: -18 + 9k = 4(3 + k) -18 + 9k = (3 * 4 + k * 4) -18 + 9k = (12 + 4k) Solving -18 + 9k = 12 + 4k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-4k' to each side of the equation. -18 + 9k + -4k = 12 + 4k + -4k Combine like terms: 9k + -4k = 5k -18 + 5k = 12 + 4k + -4k Combine like terms: 4k + -4k = 0 -18 + 5k = 12 + 0 -18 + 5k = 12 Add '18' to each side of the equation. -18 + 18 + 5k = 12 + 18 Combine like terms: -18 + 18 = 0 0 + 5k = 12 + 18 5k = 12 + 18 Combine like terms: 12 + 18 = 30 5k = 30 Divide each side by '5'. k = 6 Simplifying k = 6
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