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Simplifying 6 + -5z = 2z(3 + -2) Combine like terms: 3 + -2 = 1 6 + -5z = 2z(1) Reorder the terms for easier multiplication: 6 + -5z = 2 * 1z Multiply 2 * 1 6 + -5z = 2z Solving 6 + -5z = 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. 6 + -5z + -2z = 2z + -2z Combine like terms: -5z + -2z = -7z 6 + -7z = 2z + -2z Combine like terms: 2z + -2z = 0 6 + -7z = 0 Add '-6' to each side of the equation. 6 + -6 + -7z = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -7z = 0 + -6 -7z = 0 + -6 Combine like terms: 0 + -6 = -6 -7z = -6 Divide each side by '-7'. z = 0.8571428571 Simplifying z = 0.8571428571
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