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Simplifying 4z + -1 = 7z + -4z Reorder the terms: -1 + 4z = 7z + -4z Combine like terms: 7z + -4z = 3z -1 + 4z = 3z Solving -1 + 4z = 3z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-3z' to each side of the equation. -1 + 4z + -3z = 3z + -3z Combine like terms: 4z + -3z = 1z -1 + 1z = 3z + -3z Combine like terms: 3z + -3z = 0 -1 + 1z = 0 Add '1' to each side of the equation. -1 + 1 + 1z = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 1z = 0 + 1 1z = 0 + 1 Combine like terms: 0 + 1 = 1 1z = 1 Divide each side by '1'. z = 1 Simplifying z = 1
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