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Simplifying 8(2 + z) + -5(3 + -2z) = 0 (2 * 8 + z * 8) + -5(3 + -2z) = 0 (16 + 8z) + -5(3 + -2z) = 0 16 + 8z + (3 * -5 + -2z * -5) = 0 16 + 8z + (-15 + 10z) = 0 Reorder the terms: 16 + -15 + 8z + 10z = 0 Combine like terms: 16 + -15 = 1 1 + 8z + 10z = 0 Combine like terms: 8z + 10z = 18z 1 + 18z = 0 Solving 1 + 18z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 18z = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 18z = 0 + -1 18z = 0 + -1 Combine like terms: 0 + -1 = -1 18z = -1 Divide each side by '18'. z = -0.05555555556 Simplifying z = -0.05555555556
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