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Simplifying 8z + 10 = 9z + 3 Reorder the terms: 10 + 8z = 9z + 3 Reorder the terms: 10 + 8z = 3 + 9z Solving 10 + 8z = 3 + 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 + 8z + -9z = 3 + 9z + -9z Combine like terms: 8z + -9z = -1z 10 + -1z = 3 + 9z + -9z Combine like terms: 9z + -9z = 0 10 + -1z = 3 + 0 10 + -1z = 3 Add '-10' to each side of the equation. 10 + -10 + -1z = 3 + -10 Combine like terms: 10 + -10 = 0 0 + -1z = 3 + -10 -1z = 3 + -10 Combine like terms: 3 + -10 = -7 -1z = -7 Divide each side by '-1'. z = 7 Simplifying z = 7
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