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Simplifying (6z + -7) + (7z + -4) = 0 Reorder the terms: (-7 + 6z) + (7z + -4) = 0 Remove parenthesis around (-7 + 6z) -7 + 6z + (7z + -4) = 0 Reorder the terms: -7 + 6z + (-4 + 7z) = 0 Remove parenthesis around (-4 + 7z) -7 + 6z + -4 + 7z = 0 Reorder the terms: -7 + -4 + 6z + 7z = 0 Combine like terms: -7 + -4 = -11 -11 + 6z + 7z = 0 Combine like terms: 6z + 7z = 13z -11 + 13z = 0 Solving -11 + 13z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + 13z = 0 + 11 Combine like terms: -11 + 11 = 0 0 + 13z = 0 + 11 13z = 0 + 11 Combine like terms: 0 + 11 = 11 13z = 11 Divide each side by '13'. z = 0.8461538462 Simplifying z = 0.8461538462
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