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Simplifying 2(5z + -1) + -3(z + -2) = 0 Reorder the terms: 2(-1 + 5z) + -3(z + -2) = 0 (-1 * 2 + 5z * 2) + -3(z + -2) = 0 (-2 + 10z) + -3(z + -2) = 0 Reorder the terms: -2 + 10z + -3(-2 + z) = 0 -2 + 10z + (-2 * -3 + z * -3) = 0 -2 + 10z + (6 + -3z) = 0 Reorder the terms: -2 + 6 + 10z + -3z = 0 Combine like terms: -2 + 6 = 4 4 + 10z + -3z = 0 Combine like terms: 10z + -3z = 7z 4 + 7z = 0 Solving 4 + 7z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 7z = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 7z = 0 + -4 7z = 0 + -4 Combine like terms: 0 + -4 = -4 7z = -4 Divide each side by '7'. z = -0.5714285714 Simplifying z = -0.5714285714
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