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Simplifying -6z + 13 = 7z + -5 Reorder the terms: 13 + -6z = 7z + -5 Reorder the terms: 13 + -6z = -5 + 7z Solving 13 + -6z = -5 + 7z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-7z' to each side of the equation. 13 + -6z + -7z = -5 + 7z + -7z Combine like terms: -6z + -7z = -13z 13 + -13z = -5 + 7z + -7z Combine like terms: 7z + -7z = 0 13 + -13z = -5 + 0 13 + -13z = -5 Add '-13' to each side of the equation. 13 + -13 + -13z = -5 + -13 Combine like terms: 13 + -13 = 0 0 + -13z = -5 + -13 -13z = -5 + -13 Combine like terms: -5 + -13 = -18 -13z = -18 Divide each side by '-13'. z = 1.384615385 Simplifying z = 1.384615385
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