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Simplifying 3z + -9 + 31 = z + 48 Reorder the terms: -9 + 31 + 3z = z + 48 Combine like terms: -9 + 31 = 22 22 + 3z = z + 48 Reorder the terms: 22 + 3z = 48 + z Solving 22 + 3z = 48 + z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-1z' to each side of the equation. 22 + 3z + -1z = 48 + z + -1z Combine like terms: 3z + -1z = 2z 22 + 2z = 48 + z + -1z Combine like terms: z + -1z = 0 22 + 2z = 48 + 0 22 + 2z = 48 Add '-22' to each side of the equation. 22 + -22 + 2z = 48 + -22 Combine like terms: 22 + -22 = 0 0 + 2z = 48 + -22 2z = 48 + -22 Combine like terms: 48 + -22 = 26 2z = 26 Divide each side by '2'. z = 13 Simplifying z = 13
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