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Simplifying 5z + -3 = 2z + 9 Reorder the terms: -3 + 5z = 2z + 9 Reorder the terms: -3 + 5z = 9 + 2z Solving -3 + 5z = 9 + 2z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-2z' to each side of the equation. -3 + 5z + -2z = 9 + 2z + -2z Combine like terms: 5z + -2z = 3z -3 + 3z = 9 + 2z + -2z Combine like terms: 2z + -2z = 0 -3 + 3z = 9 + 0 -3 + 3z = 9 Add '3' to each side of the equation. -3 + 3 + 3z = 9 + 3 Combine like terms: -3 + 3 = 0 0 + 3z = 9 + 3 3z = 9 + 3 Combine like terms: 9 + 3 = 12 3z = 12 Divide each side by '3'. z = 4 Simplifying z = 4
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