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Simplifying 7z + -3z + 12 + -5 = 8z + 7 Reorder the terms: 12 + -5 + 7z + -3z = 8z + 7 Combine like terms: 12 + -5 = 7 7 + 7z + -3z = 8z + 7 Combine like terms: 7z + -3z = 4z 7 + 4z = 8z + 7 Reorder the terms: 7 + 4z = 7 + 8z Add '-7' to each side of the equation. 7 + -7 + 4z = 7 + -7 + 8z Combine like terms: 7 + -7 = 0 0 + 4z = 7 + -7 + 8z 4z = 7 + -7 + 8z Combine like terms: 7 + -7 = 0 4z = 0 + 8z 4z = 8z Solving 4z = 8z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-8z' to each side of the equation. 4z + -8z = 8z + -8z Combine like terms: 4z + -8z = -4z -4z = 8z + -8z Combine like terms: 8z + -8z = 0 -4z = 0 Divide each side by '-4'. z = 0 Simplifying z = 0
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