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Simplifying 2z + 7 = 4z + 1 Reorder the terms: 7 + 2z = 4z + 1 Reorder the terms: 7 + 2z = 1 + 4z Solving 7 + 2z = 1 + 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. 7 + 2z + -4z = 1 + 4z + -4z Combine like terms: 2z + -4z = -2z 7 + -2z = 1 + 4z + -4z Combine like terms: 4z + -4z = 0 7 + -2z = 1 + 0 7 + -2z = 1 Add '-7' to each side of the equation. 7 + -7 + -2z = 1 + -7 Combine like terms: 7 + -7 = 0 0 + -2z = 1 + -7 -2z = 1 + -7 Combine like terms: 1 + -7 = -6 -2z = -6 Divide each side by '-2'. z = 3 Simplifying z = 3
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