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Simplifying 4z + -10 + 3z = 30 + -3z Reorder the terms: -10 + 4z + 3z = 30 + -3z Combine like terms: 4z + 3z = 7z -10 + 7z = 30 + -3z Solving -10 + 7z = 30 + -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. -10 + 7z + 3z = 30 + -3z + 3z Combine like terms: 7z + 3z = 10z -10 + 10z = 30 + -3z + 3z Combine like terms: -3z + 3z = 0 -10 + 10z = 30 + 0 -10 + 10z = 30 Add '10' to each side of the equation. -10 + 10 + 10z = 30 + 10 Combine like terms: -10 + 10 = 0 0 + 10z = 30 + 10 10z = 30 + 10 Combine like terms: 30 + 10 = 40 10z = 40 Divide each side by '10'. z = 4 Simplifying z = 4
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