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Simplifying 8 + 3z + -1 = 9z + 10 + -3z Reorder the terms: 8 + -1 + 3z = 9z + 10 + -3z Combine like terms: 8 + -1 = 7 7 + 3z = 9z + 10 + -3z Reorder the terms: 7 + 3z = 10 + 9z + -3z Combine like terms: 9z + -3z = 6z 7 + 3z = 10 + 6z Solving 7 + 3z = 10 + 6z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-6z' to each side of the equation. 7 + 3z + -6z = 10 + 6z + -6z Combine like terms: 3z + -6z = -3z 7 + -3z = 10 + 6z + -6z Combine like terms: 6z + -6z = 0 7 + -3z = 10 + 0 7 + -3z = 10 Add '-7' to each side of the equation. 7 + -7 + -3z = 10 + -7 Combine like terms: 7 + -7 = 0 0 + -3z = 10 + -7 -3z = 10 + -7 Combine like terms: 10 + -7 = 3 -3z = 3 Divide each side by '-3'. z = -1 Simplifying z = -1
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