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Simplifying 9(6k + -18) = 4(12k + -1) Reorder the terms: 9(-18 + 6k) = 4(12k + -1) (-18 * 9 + 6k * 9) = 4(12k + -1) (-162 + 54k) = 4(12k + -1) Reorder the terms: -162 + 54k = 4(-1 + 12k) -162 + 54k = (-1 * 4 + 12k * 4) -162 + 54k = (-4 + 48k) Solving -162 + 54k = -4 + 48k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-48k' to each side of the equation. -162 + 54k + -48k = -4 + 48k + -48k Combine like terms: 54k + -48k = 6k -162 + 6k = -4 + 48k + -48k Combine like terms: 48k + -48k = 0 -162 + 6k = -4 + 0 -162 + 6k = -4 Add '162' to each side of the equation. -162 + 162 + 6k = -4 + 162 Combine like terms: -162 + 162 = 0 0 + 6k = -4 + 162 6k = -4 + 162 Combine like terms: -4 + 162 = 158 6k = 158 Divide each side by '6'. k = 26.33333333 Simplifying k = 26.33333333
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