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Simplifying 3z + -45 = 5z + -81 Reorder the terms: -45 + 3z = 5z + -81 Reorder the terms: -45 + 3z = -81 + 5z Solving -45 + 3z = -81 + 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. -45 + 3z + -5z = -81 + 5z + -5z Combine like terms: 3z + -5z = -2z -45 + -2z = -81 + 5z + -5z Combine like terms: 5z + -5z = 0 -45 + -2z = -81 + 0 -45 + -2z = -81 Add '45' to each side of the equation. -45 + 45 + -2z = -81 + 45 Combine like terms: -45 + 45 = 0 0 + -2z = -81 + 45 -2z = -81 + 45 Combine like terms: -81 + 45 = -36 -2z = -36 Divide each side by '-2'. z = 18 Simplifying z = 18
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