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Simplifying 4k + -9 = 3(k + -3) Reorder the terms: -9 + 4k = 3(k + -3) Reorder the terms: -9 + 4k = 3(-3 + k) -9 + 4k = (-3 * 3 + k * 3) -9 + 4k = (-9 + 3k) Add '9' to each side of the equation. -9 + 9 + 4k = -9 + 9 + 3k Combine like terms: -9 + 9 = 0 0 + 4k = -9 + 9 + 3k 4k = -9 + 9 + 3k Combine like terms: -9 + 9 = 0 4k = 0 + 3k 4k = 3k Solving 4k = 3k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-3k' to each side of the equation. 4k + -3k = 3k + -3k Combine like terms: 4k + -3k = 1k 1k = 3k + -3k Combine like terms: 3k + -3k = 0 1k = 0 Divide each side by '1'. k = 0 Simplifying k = 0
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