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Simplifying 7z + 6 = 12z + -10 Reorder the terms: 6 + 7z = 12z + -10 Reorder the terms: 6 + 7z = -10 + 12z Solving 6 + 7z = -10 + 12z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-12z' to each side of the equation. 6 + 7z + -12z = -10 + 12z + -12z Combine like terms: 7z + -12z = -5z 6 + -5z = -10 + 12z + -12z Combine like terms: 12z + -12z = 0 6 + -5z = -10 + 0 6 + -5z = -10 Add '-6' to each side of the equation. 6 + -6 + -5z = -10 + -6 Combine like terms: 6 + -6 = 0 0 + -5z = -10 + -6 -5z = -10 + -6 Combine like terms: -10 + -6 = -16 -5z = -16 Divide each side by '-5'. z = 3.2 Simplifying z = 3.2
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