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Simplifying 3z + -2 = 5z + 7 Reorder the terms: -2 + 3z = 5z + 7 Reorder the terms: -2 + 3z = 7 + 5z Solving -2 + 3z = 7 + 5z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-5z' to each side of the equation. -2 + 3z + -5z = 7 + 5z + -5z Combine like terms: 3z + -5z = -2z -2 + -2z = 7 + 5z + -5z Combine like terms: 5z + -5z = 0 -2 + -2z = 7 + 0 -2 + -2z = 7 Add '2' to each side of the equation. -2 + 2 + -2z = 7 + 2 Combine like terms: -2 + 2 = 0 0 + -2z = 7 + 2 -2z = 7 + 2 Combine like terms: 7 + 2 = 9 -2z = 9 Divide each side by '-2'. z = -4.5 Simplifying z = -4.5
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