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Simplifying 4z + 7 = z + 22 Reorder the terms: 7 + 4z = z + 22 Reorder the terms: 7 + 4z = 22 + z Solving 7 + 4z = 22 + 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. 7 + 4z + -1z = 22 + z + -1z Combine like terms: 4z + -1z = 3z 7 + 3z = 22 + z + -1z Combine like terms: z + -1z = 0 7 + 3z = 22 + 0 7 + 3z = 22 Add '-7' to each side of the equation. 7 + -7 + 3z = 22 + -7 Combine like terms: 7 + -7 = 0 0 + 3z = 22 + -7 3z = 22 + -7 Combine like terms: 22 + -7 = 15 3z = 15 Divide each side by '3'. z = 5 Simplifying z = 5
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