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Simplifying 3z + -1z + -5 = z + 8 Reorder the terms: -5 + 3z + -1z = z + 8 Combine like terms: 3z + -1z = 2z -5 + 2z = z + 8 Reorder the terms: -5 + 2z = 8 + z Solving -5 + 2z = 8 + z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-1z' to each side of the equation. -5 + 2z + -1z = 8 + z + -1z Combine like terms: 2z + -1z = 1z -5 + 1z = 8 + z + -1z Combine like terms: z + -1z = 0 -5 + 1z = 8 + 0 -5 + 1z = 8 Add '5' to each side of the equation. -5 + 5 + 1z = 8 + 5 Combine like terms: -5 + 5 = 0 0 + 1z = 8 + 5 1z = 8 + 5 Combine like terms: 8 + 5 = 13 1z = 13 Divide each side by '1'. z = 13 Simplifying z = 13
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