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Simplifying 6z + -1 = 3 + 4z + 6 Reorder the terms: -1 + 6z = 3 + 4z + 6 Reorder the terms: -1 + 6z = 3 + 6 + 4z Combine like terms: 3 + 6 = 9 -1 + 6z = 9 + 4z Solving -1 + 6z = 9 + 4z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-4z' to each side of the equation. -1 + 6z + -4z = 9 + 4z + -4z Combine like terms: 6z + -4z = 2z -1 + 2z = 9 + 4z + -4z Combine like terms: 4z + -4z = 0 -1 + 2z = 9 + 0 -1 + 2z = 9 Add '1' to each side of the equation. -1 + 1 + 2z = 9 + 1 Combine like terms: -1 + 1 = 0 0 + 2z = 9 + 1 2z = 9 + 1 Combine like terms: 9 + 1 = 10 2z = 10 Divide each side by '2'. z = 5 Simplifying z = 5
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