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Simplifying 7z + 12 = 4z + 10 Reorder the terms: 12 + 7z = 4z + 10 Reorder the terms: 12 + 7z = 10 + 4z Solving 12 + 7z = 10 + 4z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-4z' to each side of the equation. 12 + 7z + -4z = 10 + 4z + -4z Combine like terms: 7z + -4z = 3z 12 + 3z = 10 + 4z + -4z Combine like terms: 4z + -4z = 0 12 + 3z = 10 + 0 12 + 3z = 10 Add '-12' to each side of the equation. 12 + -12 + 3z = 10 + -12 Combine like terms: 12 + -12 = 0 0 + 3z = 10 + -12 3z = 10 + -12 Combine like terms: 10 + -12 = -2 3z = -2 Divide each side by '3'. z = -0.6666666667 Simplifying z = -0.6666666667
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