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Simplifying 8 + -2z = 10 + 3z Solving 8 + -2z = 10 + 3z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-3z' to each side of the equation. 8 + -2z + -3z = 10 + 3z + -3z Combine like terms: -2z + -3z = -5z 8 + -5z = 10 + 3z + -3z Combine like terms: 3z + -3z = 0 8 + -5z = 10 + 0 8 + -5z = 10 Add '-8' to each side of the equation. 8 + -8 + -5z = 10 + -8 Combine like terms: 8 + -8 = 0 0 + -5z = 10 + -8 -5z = 10 + -8 Combine like terms: 10 + -8 = 2 -5z = 2 Divide each side by '-5'. z = -0.4 Simplifying z = -0.4
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