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Simplifying 8(z + 5) + -32 = -2 Reorder the terms: 8(5 + z) + -32 = -2 (5 * 8 + z * 8) + -32 = -2 (40 + 8z) + -32 = -2 Reorder the terms: 40 + -32 + 8z = -2 Combine like terms: 40 + -32 = 8 8 + 8z = -2 Solving 8 + 8z = -2 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 8z = -2 + -8 Combine like terms: 8 + -8 = 0 0 + 8z = -2 + -8 8z = -2 + -8 Combine like terms: -2 + -8 = -10 8z = -10 Divide each side by '8'. z = -1.25 Simplifying z = -1.25
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