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Simplifying 7z + -1 = 13z + 1 Reorder the terms: -1 + 7z = 13z + 1 Reorder the terms: -1 + 7z = 1 + 13z Solving -1 + 7z = 1 + 13z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-13z' to each side of the equation. -1 + 7z + -13z = 1 + 13z + -13z Combine like terms: 7z + -13z = -6z -1 + -6z = 1 + 13z + -13z Combine like terms: 13z + -13z = 0 -1 + -6z = 1 + 0 -1 + -6z = 1 Add '1' to each side of the equation. -1 + 1 + -6z = 1 + 1 Combine like terms: -1 + 1 = 0 0 + -6z = 1 + 1 -6z = 1 + 1 Combine like terms: 1 + 1 = 2 -6z = 2 Divide each side by '-6'. z = -0.3333333333 Simplifying z = -0.3333333333
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