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Simplifying 8z + -41 = 4z + 35 Reorder the terms: -41 + 8z = 4z + 35 Reorder the terms: -41 + 8z = 35 + 4z Solving -41 + 8z = 35 + 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. -41 + 8z + -4z = 35 + 4z + -4z Combine like terms: 8z + -4z = 4z -41 + 4z = 35 + 4z + -4z Combine like terms: 4z + -4z = 0 -41 + 4z = 35 + 0 -41 + 4z = 35 Add '41' to each side of the equation. -41 + 41 + 4z = 35 + 41 Combine like terms: -41 + 41 = 0 0 + 4z = 35 + 41 4z = 35 + 41 Combine like terms: 35 + 41 = 76 4z = 76 Divide each side by '4'. z = 19 Simplifying z = 19
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