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Simplifying 8(z + 5) + -34 = -2 Reorder the terms: 8(5 + z) + -34 = -2 (5 * 8 + z * 8) + -34 = -2 (40 + 8z) + -34 = -2 Reorder the terms: 40 + -34 + 8z = -2 Combine like terms: 40 + -34 = 6 6 + 8z = -2 Solving 6 + 8z = -2 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + 8z = -2 + -6 Combine like terms: 6 + -6 = 0 0 + 8z = -2 + -6 8z = -2 + -6 Combine like terms: -2 + -6 = -8 8z = -8 Divide each side by '8'. z = -1 Simplifying z = -1
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