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Simplifying -22 + -9z = 4[7z + 6] Reorder the terms: -22 + -9z = 4[6 + 7z] -22 + -9z = [6 * 4 + 7z * 4] -22 + -9z = [24 + 28z] Solving -22 + -9z = 24 + 28z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-28z' to each side of the equation. -22 + -9z + -28z = 24 + 28z + -28z Combine like terms: -9z + -28z = -37z -22 + -37z = 24 + 28z + -28z Combine like terms: 28z + -28z = 0 -22 + -37z = 24 + 0 -22 + -37z = 24 Add '22' to each side of the equation. -22 + 22 + -37z = 24 + 22 Combine like terms: -22 + 22 = 0 0 + -37z = 24 + 22 -37z = 24 + 22 Combine like terms: 24 + 22 = 46 -37z = 46 Divide each side by '-37'. z = -1.243243243 Simplifying z = -1.243243243
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