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Simplifying -9 = -6z + -3(-3z + 2) Reorder the terms: -9 = -6z + -3(2 + -3z) -9 = -6z + (2 * -3 + -3z * -3) -9 = -6z + (-6 + 9z) Reorder the terms: -9 = -6 + -6z + 9z Combine like terms: -6z + 9z = 3z -9 = -6 + 3z Solving -9 = -6 + 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 + -3z = -6 + 3z + -3z Combine like terms: 3z + -3z = 0 -9 + -3z = -6 + 0 -9 + -3z = -6 Add '9' to each side of the equation. -9 + 9 + -3z = -6 + 9 Combine like terms: -9 + 9 = 0 0 + -3z = -6 + 9 -3z = -6 + 9 Combine like terms: -6 + 9 = 3 -3z = 3 Divide each side by '-3'. z = -1 Simplifying z = -1
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