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Simplifying 4(k + -9) + 18 = 6 Reorder the terms: 4(-9 + k) + 18 = 6 (-9 * 4 + k * 4) + 18 = 6 (-36 + 4k) + 18 = 6 Reorder the terms: -36 + 18 + 4k = 6 Combine like terms: -36 + 18 = -18 -18 + 4k = 6 Solving -18 + 4k = 6 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 18 + 4k = 6 + 18 Combine like terms: -18 + 18 = 0 0 + 4k = 6 + 18 4k = 6 + 18 Combine like terms: 6 + 18 = 24 4k = 24 Divide each side by '4'. k = 6 Simplifying k = 6
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