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Simplifying 2(3z + -2) + 8 = 34 Reorder the terms: 2(-2 + 3z) + 8 = 34 (-2 * 2 + 3z * 2) + 8 = 34 (-4 + 6z) + 8 = 34 Reorder the terms: -4 + 8 + 6z = 34 Combine like terms: -4 + 8 = 4 4 + 6z = 34 Solving 4 + 6z = 34 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 6z = 34 + -4 Combine like terms: 4 + -4 = 0 0 + 6z = 34 + -4 6z = 34 + -4 Combine like terms: 34 + -4 = 30 6z = 30 Divide each side by '6'. z = 5 Simplifying z = 5
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