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Simplifying 13z + 26 + -4z + -8 = 4z + -8 + 4z + -8 Reorder the terms: 26 + -8 + 13z + -4z = 4z + -8 + 4z + -8 Combine like terms: 26 + -8 = 18 18 + 13z + -4z = 4z + -8 + 4z + -8 Combine like terms: 13z + -4z = 9z 18 + 9z = 4z + -8 + 4z + -8 Reorder the terms: 18 + 9z = -8 + -8 + 4z + 4z Combine like terms: -8 + -8 = -16 18 + 9z = -16 + 4z + 4z Combine like terms: 4z + 4z = 8z 18 + 9z = -16 + 8z Solving 18 + 9z = -16 + 8z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-8z' to each side of the equation. 18 + 9z + -8z = -16 + 8z + -8z Combine like terms: 9z + -8z = 1z 18 + 1z = -16 + 8z + -8z Combine like terms: 8z + -8z = 0 18 + 1z = -16 + 0 18 + 1z = -16 Add '-18' to each side of the equation. 18 + -18 + 1z = -16 + -18 Combine like terms: 18 + -18 = 0 0 + 1z = -16 + -18 1z = -16 + -18 Combine like terms: -16 + -18 = -34 1z = -34 Divide each side by '1'. z = -34 Simplifying z = -34
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