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Simplifying 2.5z + 5z + -10 = z Reorder the terms: -10 + 2.5z + 5z = z Combine like terms: 2.5z + 5z = 7.5z -10 + 7.5z = z Solving -10 + 7.5z = z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-1z' to each side of the equation. -10 + 7.5z + -1z = z + -1z Combine like terms: 7.5z + -1z = 6.5z -10 + 6.5z = z + -1z Combine like terms: z + -1z = 0 -10 + 6.5z = 0 Add '10' to each side of the equation. -10 + 10 + 6.5z = 0 + 10 Combine like terms: -10 + 10 = 0 0 + 6.5z = 0 + 10 6.5z = 0 + 10 Combine like terms: 0 + 10 = 10 6.5z = 10 Divide each side by '6.5'. z = 1.538461538 Simplifying z = 1.538461538
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