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Simplifying 4z + -7 = 14 + -3z Reorder the terms: -7 + 4z = 14 + -3z Solving -7 + 4z = 14 + -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. -7 + 4z + 3z = 14 + -3z + 3z Combine like terms: 4z + 3z = 7z -7 + 7z = 14 + -3z + 3z Combine like terms: -3z + 3z = 0 -7 + 7z = 14 + 0 -7 + 7z = 14 Add '7' to each side of the equation. -7 + 7 + 7z = 14 + 7 Combine like terms: -7 + 7 = 0 0 + 7z = 14 + 7 7z = 14 + 7 Combine like terms: 14 + 7 = 21 7z = 21 Divide each side by '7'. z = 3 Simplifying z = 3
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