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Simplifying 4z + 7 + -1z = 4 + 2z + 4 Reorder the terms: 7 + 4z + -1z = 4 + 2z + 4 Combine like terms: 4z + -1z = 3z 7 + 3z = 4 + 2z + 4 Reorder the terms: 7 + 3z = 4 + 4 + 2z Combine like terms: 4 + 4 = 8 7 + 3z = 8 + 2z Solving 7 + 3z = 8 + 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 + 3z + -2z = 8 + 2z + -2z Combine like terms: 3z + -2z = 1z 7 + 1z = 8 + 2z + -2z Combine like terms: 2z + -2z = 0 7 + 1z = 8 + 0 7 + 1z = 8 Add '-7' to each side of the equation. 7 + -7 + 1z = 8 + -7 Combine like terms: 7 + -7 = 0 0 + 1z = 8 + -7 1z = 8 + -7 Combine like terms: 8 + -7 = 1 1z = 1 Divide each side by '1'. z = 1 Simplifying z = 1
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