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Simplifying z + 40 = 7z + -44 Reorder the terms: 40 + z = 7z + -44 Reorder the terms: 40 + z = -44 + 7z Solving 40 + z = -44 + 7z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-7z' to each side of the equation. 40 + z + -7z = -44 + 7z + -7z Combine like terms: z + -7z = -6z 40 + -6z = -44 + 7z + -7z Combine like terms: 7z + -7z = 0 40 + -6z = -44 + 0 40 + -6z = -44 Add '-40' to each side of the equation. 40 + -40 + -6z = -44 + -40 Combine like terms: 40 + -40 = 0 0 + -6z = -44 + -40 -6z = -44 + -40 Combine like terms: -44 + -40 = -84 -6z = -84 Divide each side by '-6'. z = 14 Simplifying z = 14
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