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Simplifying 9z + 4 = 3z + -10 Reorder the terms: 4 + 9z = 3z + -10 Reorder the terms: 4 + 9z = -10 + 3z Solving 4 + 9z = -10 + 3z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-3z' to each side of the equation. 4 + 9z + -3z = -10 + 3z + -3z Combine like terms: 9z + -3z = 6z 4 + 6z = -10 + 3z + -3z Combine like terms: 3z + -3z = 0 4 + 6z = -10 + 0 4 + 6z = -10 Add '-4' to each side of the equation. 4 + -4 + 6z = -10 + -4 Combine like terms: 4 + -4 = 0 0 + 6z = -10 + -4 6z = -10 + -4 Combine like terms: -10 + -4 = -14 6z = -14 Divide each side by '6'. z = -2.333333333 Simplifying z = -2.333333333
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