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Simplifying 5z + 10 = 9z + 6 Reorder the terms: 10 + 5z = 9z + 6 Reorder the terms: 10 + 5z = 6 + 9z Solving 10 + 5z = 6 + 9z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-9z' to each side of the equation. 10 + 5z + -9z = 6 + 9z + -9z Combine like terms: 5z + -9z = -4z 10 + -4z = 6 + 9z + -9z Combine like terms: 9z + -9z = 0 10 + -4z = 6 + 0 10 + -4z = 6 Add '-10' to each side of the equation. 10 + -10 + -4z = 6 + -10 Combine like terms: 10 + -10 = 0 0 + -4z = 6 + -10 -4z = 6 + -10 Combine like terms: 6 + -10 = -4 -4z = -4 Divide each side by '-4'. z = 1 Simplifying z = 1
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