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Simplifying 4 + -7z = 6 + -2z Solving 4 + -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. 4 + -7z + 2z = 6 + -2z + 2z Combine like terms: -7z + 2z = -5z 4 + -5z = 6 + -2z + 2z Combine like terms: -2z + 2z = 0 4 + -5z = 6 + 0 4 + -5z = 6 Add '-4' to each side of the equation. 4 + -4 + -5z = 6 + -4 Combine like terms: 4 + -4 = 0 0 + -5z = 6 + -4 -5z = 6 + -4 Combine like terms: 6 + -4 = 2 -5z = 2 Divide each side by '-5'. z = -0.4 Simplifying z = -0.4
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