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