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Simplifying 2(5z + -9) + -3(z + -3) = 0 Reorder the terms: 2(-9 + 5z) + -3(z + -3) = 0 (-9 * 2 + 5z * 2) + -3(z + -3) = 0 (-18 + 10z) + -3(z + -3) = 0 Reorder the terms: -18 + 10z + -3(-3 + z) = 0 -18 + 10z + (-3 * -3 + z * -3) = 0 -18 + 10z + (9 + -3z) = 0 Reorder the terms: -18 + 9 + 10z + -3z = 0 Combine like terms: -18 + 9 = -9 -9 + 10z + -3z = 0 Combine like terms: 10z + -3z = 7z -9 + 7z = 0 Solving -9 + 7z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + 7z = 0 + 9 Combine like terms: -9 + 9 = 0 0 + 7z = 0 + 9 7z = 0 + 9 Combine like terms: 0 + 9 = 9 7z = 9 Divide each side by '7'. z = 1.285714286 Simplifying z = 1.285714286
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