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Simplifying -22 = -4 + 2(k + -9) Reorder the terms: -22 = -4 + 2(-9 + k) -22 = -4 + (-9 * 2 + k * 2) -22 = -4 + (-18 + 2k) Combine like terms: -4 + -18 = -22 -22 = -22 + 2k Add '22' to each side of the equation. -22 + 22 = -22 + 22 + 2k Combine like terms: -22 + 22 = 0 0 = -22 + 22 + 2k Combine like terms: -22 + 22 = 0 0 = 0 + 2k 0 = 2k Solving 0 = 2k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-2k' to each side of the equation. 0 + -2k = 2k + -2k Remove the zero: -2k = 2k + -2k Combine like terms: 2k + -2k = 0 -2k = 0 Divide each side by '-2'. k = 0 Simplifying k = 0
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