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Simplifying 2 + 3z = -3(3z + -2) Reorder the terms: 2 + 3z = -3(-2 + 3z) 2 + 3z = (-2 * -3 + 3z * -3) 2 + 3z = (6 + -9z) Solving 2 + 3z = 6 + -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. 2 + 3z + 9z = 6 + -9z + 9z Combine like terms: 3z + 9z = 12z 2 + 12z = 6 + -9z + 9z Combine like terms: -9z + 9z = 0 2 + 12z = 6 + 0 2 + 12z = 6 Add '-2' to each side of the equation. 2 + -2 + 12z = 6 + -2 Combine like terms: 2 + -2 = 0 0 + 12z = 6 + -2 12z = 6 + -2 Combine like terms: 6 + -2 = 4 12z = 4 Divide each side by '12'. z = 0.3333333333 Simplifying z = 0.3333333333
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