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Simplifying 4z + 2 + 4z = 10z + -22 Reorder the terms: 2 + 4z + 4z = 10z + -22 Combine like terms: 4z + 4z = 8z 2 + 8z = 10z + -22 Reorder the terms: 2 + 8z = -22 + 10z Solving 2 + 8z = -22 + 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. 2 + 8z + -10z = -22 + 10z + -10z Combine like terms: 8z + -10z = -2z 2 + -2z = -22 + 10z + -10z Combine like terms: 10z + -10z = 0 2 + -2z = -22 + 0 2 + -2z = -22 Add '-2' to each side of the equation. 2 + -2 + -2z = -22 + -2 Combine like terms: 2 + -2 = 0 0 + -2z = -22 + -2 -2z = -22 + -2 Combine like terms: -22 + -2 = -24 -2z = -24 Divide each side by '-2'. z = 12 Simplifying z = 12
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