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Simplifying 8z + 22 = 3(3z + 10) + z Reorder the terms: 22 + 8z = 3(3z + 10) + z Reorder the terms: 22 + 8z = 3(10 + 3z) + z 22 + 8z = (10 * 3 + 3z * 3) + z 22 + 8z = (30 + 9z) + z Combine like terms: 9z + z = 10z 22 + 8z = 30 + 10z Solving 22 + 8z = 30 + 10z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-10z' to each side of the equation. 22 + 8z + -10z = 30 + 10z + -10z Combine like terms: 8z + -10z = -2z 22 + -2z = 30 + 10z + -10z Combine like terms: 10z + -10z = 0 22 + -2z = 30 + 0 22 + -2z = 30 Add '-22' to each side of the equation. 22 + -22 + -2z = 30 + -22 Combine like terms: 22 + -22 = 0 0 + -2z = 30 + -22 -2z = 30 + -22 Combine like terms: 30 + -22 = 8 -2z = 8 Divide each side by '-2'. z = -4 Simplifying z = -4
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