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Simplifying 4z + -6z = 7z + -3 + 5z Combine like terms: 4z + -6z = -2z -2z = 7z + -3 + 5z Reorder the terms: -2z = -3 + 7z + 5z Combine like terms: 7z + 5z = 12z -2z = -3 + 12z Solving -2z = -3 + 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. -2z + -12z = -3 + 12z + -12z Combine like terms: -2z + -12z = -14z -14z = -3 + 12z + -12z Combine like terms: 12z + -12z = 0 -14z = -3 + 0 -14z = -3 Divide each side by '-14'. z = 0.2142857143 Simplifying z = 0.2142857143
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