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Simplifying 10 + -4z = 22 + -6z Solving 10 + -4z = 22 + -6z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '6z' to each side of the equation. 10 + -4z + 6z = 22 + -6z + 6z Combine like terms: -4z + 6z = 2z 10 + 2z = 22 + -6z + 6z Combine like terms: -6z + 6z = 0 10 + 2z = 22 + 0 10 + 2z = 22 Add '-10' to each side of the equation. 10 + -10 + 2z = 22 + -10 Combine like terms: 10 + -10 = 0 0 + 2z = 22 + -10 2z = 22 + -10 Combine like terms: 22 + -10 = 12 2z = 12 Divide each side by '2'. z = 6 Simplifying z = 6
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