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Simplifying 6z + -1(9 + -3z) = 6 + -3(z + 2) 6z + (9 * -1 + -3z * -1) = 6 + -3(z + 2) 6z + (-9 + 3z) = 6 + -3(z + 2) Reorder the terms: -9 + 6z + 3z = 6 + -3(z + 2) Combine like terms: 6z + 3z = 9z -9 + 9z = 6 + -3(z + 2) Reorder the terms: -9 + 9z = 6 + -3(2 + z) -9 + 9z = 6 + (2 * -3 + z * -3) -9 + 9z = 6 + (-6 + -3z) Combine like terms: 6 + -6 = 0 -9 + 9z = 0 + -3z -9 + 9z = -3z Solving -9 + 9z = -3z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '3z' to each side of the equation. -9 + 9z + 3z = -3z + 3z Combine like terms: 9z + 3z = 12z -9 + 12z = -3z + 3z Combine like terms: -3z + 3z = 0 -9 + 12z = 0 Add '9' to each side of the equation. -9 + 9 + 12z = 0 + 9 Combine like terms: -9 + 9 = 0 0 + 12z = 0 + 9 12z = 0 + 9 Combine like terms: 0 + 9 = 9 12z = 9 Divide each side by '12'. z = 0.75 Simplifying z = 0.75
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