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Simplifying (z + 5) + (z + 3) + (2z + -3) = 0 Reorder the terms: (5 + z) + (z + 3) + (2z + -3) = 0 Remove parenthesis around (5 + z) 5 + z + (z + 3) + (2z + -3) = 0 Reorder the terms: 5 + z + (3 + z) + (2z + -3) = 0 Remove parenthesis around (3 + z) 5 + z + 3 + z + (2z + -3) = 0 Reorder the terms: 5 + z + 3 + z + (-3 + 2z) = 0 Remove parenthesis around (-3 + 2z) 5 + z + 3 + z + -3 + 2z = 0 Reorder the terms: 5 + 3 + -3 + z + z + 2z = 0 Combine like terms: 5 + 3 = 8 8 + -3 + z + z + 2z = 0 Combine like terms: 8 + -3 = 5 5 + z + z + 2z = 0 Combine like terms: z + z = 2z 5 + 2z + 2z = 0 Combine like terms: 2z + 2z = 4z 5 + 4z = 0 Solving 5 + 4z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 4z = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 4z = 0 + -5 4z = 0 + -5 Combine like terms: 0 + -5 = -5 4z = -5 Divide each side by '4'. z = -1.25 Simplifying z = -1.25
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