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Simplifying 2z + 4 + 4z + 9 = 6z + 26 + 8z Reorder the terms: 4 + 9 + 2z + 4z = 6z + 26 + 8z Combine like terms: 4 + 9 = 13 13 + 2z + 4z = 6z + 26 + 8z Combine like terms: 2z + 4z = 6z 13 + 6z = 6z + 26 + 8z Reorder the terms: 13 + 6z = 26 + 6z + 8z Combine like terms: 6z + 8z = 14z 13 + 6z = 26 + 14z Solving 13 + 6z = 26 + 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. 13 + 6z + -14z = 26 + 14z + -14z Combine like terms: 6z + -14z = -8z 13 + -8z = 26 + 14z + -14z Combine like terms: 14z + -14z = 0 13 + -8z = 26 + 0 13 + -8z = 26 Add '-13' to each side of the equation. 13 + -13 + -8z = 26 + -13 Combine like terms: 13 + -13 = 0 0 + -8z = 26 + -13 -8z = 26 + -13 Combine like terms: 26 + -13 = 13 -8z = 13 Divide each side by '-8'. z = -1.625 Simplifying z = -1.625
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