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Simplifying 5 + -7z = 6 + -2z Solving 5 + -7z = 6 + -2z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '2z' to each side of the equation. 5 + -7z + 2z = 6 + -2z + 2z Combine like terms: -7z + 2z = -5z 5 + -5z = 6 + -2z + 2z Combine like terms: -2z + 2z = 0 5 + -5z = 6 + 0 5 + -5z = 6 Add '-5' to each side of the equation. 5 + -5 + -5z = 6 + -5 Combine like terms: 5 + -5 = 0 0 + -5z = 6 + -5 -5z = 6 + -5 Combine like terms: 6 + -5 = 1 -5z = 1 Divide each side by '-5'. z = -0.2 Simplifying z = -0.2
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