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Simplifying 3 + -9 = -6 + 3z Combine like terms: 3 + -9 = -6 -6 = -6 + 3z Add '6' to each side of the equation. -6 + 6 = -6 + 6 + 3z Combine like terms: -6 + 6 = 0 0 = -6 + 6 + 3z Combine like terms: -6 + 6 = 0 0 = 0 + 3z 0 = 3z Solving 0 = 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. 0 + -3z = 3z + -3z Remove the zero: -3z = 3z + -3z Combine like terms: 3z + -3z = 0 -3z = 0 Divide each side by '-3'. z = 0 Simplifying z = 0
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