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Simplifying 22 + -1z = 3z + -38 Reorder the terms: 22 + -1z = -38 + 3z Solving 22 + -1z = -38 + 3z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-3z' to each side of the equation. 22 + -1z + -3z = -38 + 3z + -3z Combine like terms: -1z + -3z = -4z 22 + -4z = -38 + 3z + -3z Combine like terms: 3z + -3z = 0 22 + -4z = -38 + 0 22 + -4z = -38 Add '-22' to each side of the equation. 22 + -22 + -4z = -38 + -22 Combine like terms: 22 + -22 = 0 0 + -4z = -38 + -22 -4z = -38 + -22 Combine like terms: -38 + -22 = -60 -4z = -60 Divide each side by '-4'. z = 15 Simplifying z = 15
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