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Simplifying 4(z + -1) + -1(5 + -6z) = 9z Reorder the terms: 4(-1 + z) + -1(5 + -6z) = 9z (-1 * 4 + z * 4) + -1(5 + -6z) = 9z (-4 + 4z) + -1(5 + -6z) = 9z -4 + 4z + (5 * -1 + -6z * -1) = 9z -4 + 4z + (-5 + 6z) = 9z Reorder the terms: -4 + -5 + 4z + 6z = 9z Combine like terms: -4 + -5 = -9 -9 + 4z + 6z = 9z Combine like terms: 4z + 6z = 10z -9 + 10z = 9z Solving -9 + 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. -9 + 10z + -9z = 9z + -9z Combine like terms: 10z + -9z = 1z -9 + 1z = 9z + -9z Combine like terms: 9z + -9z = 0 -9 + 1z = 0 Add '9' to each side of the equation. -9 + 9 + 1z = 0 + 9 Combine like terms: -9 + 9 = 0 0 + 1z = 0 + 9 1z = 0 + 9 Combine like terms: 0 + 9 = 9 1z = 9 Divide each side by '1'. z = 9 Simplifying z = 9
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