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Simplifying 5z + -3z + 8 + -2 + 9 = 0 Reorder the terms: 8 + -2 + 9 + 5z + -3z = 0 Combine like terms: 8 + -2 = 6 6 + 9 + 5z + -3z = 0 Combine like terms: 6 + 9 = 15 15 + 5z + -3z = 0 Combine like terms: 5z + -3z = 2z 15 + 2z = 0 Solving 15 + 2z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + 2z = 0 + -15 Combine like terms: 15 + -15 = 0 0 + 2z = 0 + -15 2z = 0 + -15 Combine like terms: 0 + -15 = -15 2z = -15 Divide each side by '2'. z = -7.5 Simplifying z = -7.5
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