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Simplifying z + -5 = 5 + -1z + -3 Reorder the terms: -5 + z = 5 + -1z + -3 Reorder the terms: -5 + z = 5 + -3 + -1z Combine like terms: 5 + -3 = 2 -5 + z = 2 + -1z Solving -5 + z = 2 + -1z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add 'z' to each side of the equation. -5 + z + z = 2 + -1z + z Combine like terms: z + z = 2z -5 + 2z = 2 + -1z + z Combine like terms: -1z + z = 0 -5 + 2z = 2 + 0 -5 + 2z = 2 Add '5' to each side of the equation. -5 + 5 + 2z = 2 + 5 Combine like terms: -5 + 5 = 0 0 + 2z = 2 + 5 2z = 2 + 5 Combine like terms: 2 + 5 = 7 2z = 7 Divide each side by '2'. z = 3.5 Simplifying z = 3.5
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