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Simplifying 2z + -5 + -8z + 18 = 16z + 13 + -2z Reorder the terms: -5 + 18 + 2z + -8z = 16z + 13 + -2z Combine like terms: -5 + 18 = 13 13 + 2z + -8z = 16z + 13 + -2z Combine like terms: 2z + -8z = -6z 13 + -6z = 16z + 13 + -2z Reorder the terms: 13 + -6z = 13 + 16z + -2z Combine like terms: 16z + -2z = 14z 13 + -6z = 13 + 14z Add '-13' to each side of the equation. 13 + -13 + -6z = 13 + -13 + 14z Combine like terms: 13 + -13 = 0 0 + -6z = 13 + -13 + 14z -6z = 13 + -13 + 14z Combine like terms: 13 + -13 = 0 -6z = 0 + 14z -6z = 14z Solving -6z = 14z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-14z' to each side of the equation. -6z + -14z = 14z + -14z Combine like terms: -6z + -14z = -20z -20z = 14z + -14z Combine like terms: 14z + -14z = 0 -20z = 0 Divide each side by '-20'. z = 0.0 Simplifying z = 0.0
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