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Simplifying 2z + -5 = 3z + 9 Reorder the terms: -5 + 2z = 3z + 9 Reorder the terms: -5 + 2z = 9 + 3z Solving -5 + 2z = 9 + 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. -5 + 2z + -3z = 9 + 3z + -3z Combine like terms: 2z + -3z = -1z -5 + -1z = 9 + 3z + -3z Combine like terms: 3z + -3z = 0 -5 + -1z = 9 + 0 -5 + -1z = 9 Add '5' to each side of the equation. -5 + 5 + -1z = 9 + 5 Combine like terms: -5 + 5 = 0 0 + -1z = 9 + 5 -1z = 9 + 5 Combine like terms: 9 + 5 = 14 -1z = 14 Divide each side by '-1'. z = -14 Simplifying z = -14
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