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Simplifying 2(z + -2) + 8 = 34 Reorder the terms: 2(-2 + z) + 8 = 34 (-2 * 2 + z * 2) + 8 = 34 (-4 + 2z) + 8 = 34 Reorder the terms: -4 + 8 + 2z = 34 Combine like terms: -4 + 8 = 4 4 + 2z = 34 Solving 4 + 2z = 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 + 2z = 34 + -4 Combine like terms: 4 + -4 = 0 0 + 2z = 34 + -4 2z = 34 + -4 Combine like terms: 34 + -4 = 30 2z = 30 Divide each side by '2'. z = 15 Simplifying z = 15
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