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Simplifying 4z + 5 + -1z = 7 + 2z + -7 Reorder the terms: 5 + 4z + -1z = 7 + 2z + -7 Combine like terms: 4z + -1z = 3z 5 + 3z = 7 + 2z + -7 Reorder the terms: 5 + 3z = 7 + -7 + 2z Combine like terms: 7 + -7 = 0 5 + 3z = 0 + 2z 5 + 3z = 2z Solving 5 + 3z = 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. 5 + 3z + -2z = 2z + -2z Combine like terms: 3z + -2z = 1z 5 + 1z = 2z + -2z Combine like terms: 2z + -2z = 0 5 + 1z = 0 Add '-5' to each side of the equation. 5 + -5 + 1z = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 1z = 0 + -5 1z = 0 + -5 Combine like terms: 0 + -5 = -5 1z = -5 Divide each side by '1'. z = -5 Simplifying z = -5
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