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Simplifying (7z + 1) + (-4z + -5) = 0 Reorder the terms: (1 + 7z) + (-4z + -5) = 0 Remove parenthesis around (1 + 7z) 1 + 7z + (-4z + -5) = 0 Reorder the terms: 1 + 7z + (-5 + -4z) = 0 Remove parenthesis around (-5 + -4z) 1 + 7z + -5 + -4z = 0 Reorder the terms: 1 + -5 + 7z + -4z = 0 Combine like terms: 1 + -5 = -4 -4 + 7z + -4z = 0 Combine like terms: 7z + -4z = 3z -4 + 3z = 0 Solving -4 + 3z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + 3z = 0 + 4 Combine like terms: -4 + 4 = 0 0 + 3z = 0 + 4 3z = 0 + 4 Combine like terms: 0 + 4 = 4 3z = 4 Divide each side by '3'. z = 1.333333333 Simplifying z = 1.333333333
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