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Simplifying 4z + 1 = 13z + -8 Reorder the terms: 1 + 4z = 13z + -8 Reorder the terms: 1 + 4z = -8 + 13z Solving 1 + 4z = -8 + 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 + 4z + -13z = -8 + 13z + -13z Combine like terms: 4z + -13z = -9z 1 + -9z = -8 + 13z + -13z Combine like terms: 13z + -13z = 0 1 + -9z = -8 + 0 1 + -9z = -8 Add '-1' to each side of the equation. 1 + -1 + -9z = -8 + -1 Combine like terms: 1 + -1 = 0 0 + -9z = -8 + -1 -9z = -8 + -1 Combine like terms: -8 + -1 = -9 -9z = -9 Divide each side by '-9'. z = 1 Simplifying z = 1
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