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Simplifying 6z + -1 = 41 + 3z Reorder the terms: -1 + 6z = 41 + 3z Solving -1 + 6z = 41 + 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. -1 + 6z + -3z = 41 + 3z + -3z Combine like terms: 6z + -3z = 3z -1 + 3z = 41 + 3z + -3z Combine like terms: 3z + -3z = 0 -1 + 3z = 41 + 0 -1 + 3z = 41 Add '1' to each side of the equation. -1 + 1 + 3z = 41 + 1 Combine like terms: -1 + 1 = 0 0 + 3z = 41 + 1 3z = 41 + 1 Combine like terms: 41 + 1 = 42 3z = 42 Divide each side by '3'. z = 14 Simplifying z = 14
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