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Simplifying 6z + -4 + 7z = 35 + -3z Reorder the terms: -4 + 6z + 7z = 35 + -3z Combine like terms: 6z + 7z = 13z -4 + 13z = 35 + -3z Solving -4 + 13z = 35 + -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 + 13z + 3z = 35 + -3z + 3z Combine like terms: 13z + 3z = 16z -4 + 16z = 35 + -3z + 3z Combine like terms: -3z + 3z = 0 -4 + 16z = 35 + 0 -4 + 16z = 35 Add '4' to each side of the equation. -4 + 4 + 16z = 35 + 4 Combine like terms: -4 + 4 = 0 0 + 16z = 35 + 4 16z = 35 + 4 Combine like terms: 35 + 4 = 39 16z = 39 Divide each side by '16'. z = 2.4375 Simplifying z = 2.4375
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