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Simplifying 27 + 10(z + 3) + 8z = 0 Reorder the terms: 27 + 10(3 + z) + 8z = 0 27 + (3 * 10 + z * 10) + 8z = 0 27 + (30 + 10z) + 8z = 0 Combine like terms: 27 + 30 = 57 57 + 10z + 8z = 0 Combine like terms: 10z + 8z = 18z 57 + 18z = 0 Solving 57 + 18z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-57' to each side of the equation. 57 + -57 + 18z = 0 + -57 Combine like terms: 57 + -57 = 0 0 + 18z = 0 + -57 18z = 0 + -57 Combine like terms: 0 + -57 = -57 18z = -57 Divide each side by '18'. z = -3.166666667 Simplifying z = -3.166666667
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