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Simplifying 5z + 13 + -2z + 1 = 0 Reorder the terms: 13 + 1 + 5z + -2z = 0 Combine like terms: 13 + 1 = 14 14 + 5z + -2z = 0 Combine like terms: 5z + -2z = 3z 14 + 3z = 0 Solving 14 + 3z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + 3z = 0 + -14 Combine like terms: 14 + -14 = 0 0 + 3z = 0 + -14 3z = 0 + -14 Combine like terms: 0 + -14 = -14 3z = -14 Divide each side by '3'. z = -4.666666667 Simplifying z = -4.666666667
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