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Simplifying 8 + 2z = 3(2 + -1z) 8 + 2z = (2 * 3 + -1z * 3) 8 + 2z = (6 + -3z) Solving 8 + 2z = 6 + -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 = 6 + -3z + 3z Combine like terms: 2z + 3z = 5z 8 + 5z = 6 + -3z + 3z Combine like terms: -3z + 3z = 0 8 + 5z = 6 + 0 8 + 5z = 6 Add '-8' to each side of the equation. 8 + -8 + 5z = 6 + -8 Combine like terms: 8 + -8 = 0 0 + 5z = 6 + -8 5z = 6 + -8 Combine like terms: 6 + -8 = -2 5z = -2 Divide each side by '5'. z = -0.4 Simplifying z = -0.4
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