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