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Simplifying 2z + -9 = 6z + -33 Reorder the terms: -9 + 2z = 6z + -33 Reorder the terms: -9 + 2z = -33 + 6z Solving -9 + 2z = -33 + 6z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-6z' to each side of the equation. -9 + 2z + -6z = -33 + 6z + -6z Combine like terms: 2z + -6z = -4z -9 + -4z = -33 + 6z + -6z Combine like terms: 6z + -6z = 0 -9 + -4z = -33 + 0 -9 + -4z = -33 Add '9' to each side of the equation. -9 + 9 + -4z = -33 + 9 Combine like terms: -9 + 9 = 0 0 + -4z = -33 + 9 -4z = -33 + 9 Combine like terms: -33 + 9 = -24 -4z = -24 Divide each side by '-4'. z = 6 Simplifying z = 6
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