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Simplifying 4z + -7 = 2z + 1 Reorder the terms: -7 + 4z = 2z + 1 Reorder the terms: -7 + 4z = 1 + 2z Solving -7 + 4z = 1 + 2z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-2z' to each side of the equation. -7 + 4z + -2z = 1 + 2z + -2z Combine like terms: 4z + -2z = 2z -7 + 2z = 1 + 2z + -2z Combine like terms: 2z + -2z = 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 = 8 2z = 8 Divide each side by '2'. z = 4 Simplifying z = 4
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