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Simplifying 2(5z + -4) + -3(z + -2) = 0 Reorder the terms: 2(-4 + 5z) + -3(z + -2) = 0 (-4 * 2 + 5z * 2) + -3(z + -2) = 0 (-8 + 10z) + -3(z + -2) = 0 Reorder the terms: -8 + 10z + -3(-2 + z) = 0 -8 + 10z + (-2 * -3 + z * -3) = 0 -8 + 10z + (6 + -3z) = 0 Reorder the terms: -8 + 6 + 10z + -3z = 0 Combine like terms: -8 + 6 = -2 -2 + 10z + -3z = 0 Combine like terms: 10z + -3z = 7z -2 + 7z = 0 Solving -2 + 7z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + 7z = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 7z = 0 + 2 7z = 0 + 2 Combine like terms: 0 + 2 = 2 7z = 2 Divide each side by '7'. z = 0.2857142857 Simplifying z = 0.2857142857
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