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Simplifying 8(z + 1) + 5(2z + 2) = 0 Reorder the terms: 8(1 + z) + 5(2z + 2) = 0 (1 * 8 + z * 8) + 5(2z + 2) = 0 (8 + 8z) + 5(2z + 2) = 0 Reorder the terms: 8 + 8z + 5(2 + 2z) = 0 8 + 8z + (2 * 5 + 2z * 5) = 0 8 + 8z + (10 + 10z) = 0 Reorder the terms: 8 + 10 + 8z + 10z = 0 Combine like terms: 8 + 10 = 18 18 + 8z + 10z = 0 Combine like terms: 8z + 10z = 18z 18 + 18z = 0 Solving 18 + 18z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + 18z = 0 + -18 Combine like terms: 18 + -18 = 0 0 + 18z = 0 + -18 18z = 0 + -18 Combine like terms: 0 + -18 = -18 18z = -18 Divide each side by '18'. z = -1 Simplifying z = -1
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