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Simplifying 4z + -9 = 10z + 3 Reorder the terms: -9 + 4z = 10z + 3 Reorder the terms: -9 + 4z = 3 + 10z Solving -9 + 4z = 3 + 10z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-10z' to each side of the equation. -9 + 4z + -10z = 3 + 10z + -10z Combine like terms: 4z + -10z = -6z -9 + -6z = 3 + 10z + -10z Combine like terms: 10z + -10z = 0 -9 + -6z = 3 + 0 -9 + -6z = 3 Add '9' to each side of the equation. -9 + 9 + -6z = 3 + 9 Combine like terms: -9 + 9 = 0 0 + -6z = 3 + 9 -6z = 3 + 9 Combine like terms: 3 + 9 = 12 -6z = 12 Divide each side by '-6'. z = -2 Simplifying z = -2
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