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Simplifying 13z + 1 = 4z + -6 Reorder the terms: 1 + 13z = 4z + -6 Reorder the terms: 1 + 13z = -6 + 4z Solving 1 + 13z = -6 + 4z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-4z' to each side of the equation. 1 + 13z + -4z = -6 + 4z + -4z Combine like terms: 13z + -4z = 9z 1 + 9z = -6 + 4z + -4z Combine like terms: 4z + -4z = 0 1 + 9z = -6 + 0 1 + 9z = -6 Add '-1' to each side of the equation. 1 + -1 + 9z = -6 + -1 Combine like terms: 1 + -1 = 0 0 + 9z = -6 + -1 9z = -6 + -1 Combine like terms: -6 + -1 = -7 9z = -7 Divide each side by '9'. z = -0.7777777778 Simplifying z = -0.7777777778
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