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Simplifying 4z + -2z + 12 = 7z + 8 Reorder the terms: 12 + 4z + -2z = 7z + 8 Combine like terms: 4z + -2z = 2z 12 + 2z = 7z + 8 Reorder the terms: 12 + 2z = 8 + 7z Solving 12 + 2z = 8 + 7z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-7z' to each side of the equation. 12 + 2z + -7z = 8 + 7z + -7z Combine like terms: 2z + -7z = -5z 12 + -5z = 8 + 7z + -7z Combine like terms: 7z + -7z = 0 12 + -5z = 8 + 0 12 + -5z = 8 Add '-12' to each side of the equation. 12 + -12 + -5z = 8 + -12 Combine like terms: 12 + -12 = 0 0 + -5z = 8 + -12 -5z = 8 + -12 Combine like terms: 8 + -12 = -4 -5z = -4 Divide each side by '-5'. z = 0.8 Simplifying z = 0.8
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