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Simplifying (z + 2) + (-3z + -5) = 0 Reorder the terms: (2 + z) + (-3z + -5) = 0 Remove parenthesis around (2 + z) 2 + z + (-3z + -5) = 0 Reorder the terms: 2 + z + (-5 + -3z) = 0 Remove parenthesis around (-5 + -3z) 2 + z + -5 + -3z = 0 Reorder the terms: 2 + -5 + z + -3z = 0 Combine like terms: 2 + -5 = -3 -3 + z + -3z = 0 Combine like terms: z + -3z = -2z -3 + -2z = 0 Solving -3 + -2z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -2z = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -2z = 0 + 3 -2z = 0 + 3 Combine like terms: 0 + 3 = 3 -2z = 3 Divide each side by '-2'. z = -1.5 Simplifying z = -1.5
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