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Simplifying 5(z + -2) + -1(2 + -5z) = 9z Reorder the terms: 5(-2 + z) + -1(2 + -5z) = 9z (-2 * 5 + z * 5) + -1(2 + -5z) = 9z (-10 + 5z) + -1(2 + -5z) = 9z -10 + 5z + (2 * -1 + -5z * -1) = 9z -10 + 5z + (-2 + 5z) = 9z Reorder the terms: -10 + -2 + 5z + 5z = 9z Combine like terms: -10 + -2 = -12 -12 + 5z + 5z = 9z Combine like terms: 5z + 5z = 10z -12 + 10z = 9z Solving -12 + 10z = 9z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-9z' to each side of the equation. -12 + 10z + -9z = 9z + -9z Combine like terms: 10z + -9z = 1z -12 + 1z = 9z + -9z Combine like terms: 9z + -9z = 0 -12 + 1z = 0 Add '12' to each side of the equation. -12 + 12 + 1z = 0 + 12 Combine like terms: -12 + 12 = 0 0 + 1z = 0 + 12 1z = 0 + 12 Combine like terms: 0 + 12 = 12 1z = 12 Divide each side by '1'. z = 12 Simplifying z = 12
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