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Simplifying 2(9z + 6) = 4(8z + 2) Reorder the terms: 2(6 + 9z) = 4(8z + 2) (6 * 2 + 9z * 2) = 4(8z + 2) (12 + 18z) = 4(8z + 2) Reorder the terms: 12 + 18z = 4(2 + 8z) 12 + 18z = (2 * 4 + 8z * 4) 12 + 18z = (8 + 32z) Solving 12 + 18z = 8 + 32z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-32z' to each side of the equation. 12 + 18z + -32z = 8 + 32z + -32z Combine like terms: 18z + -32z = -14z 12 + -14z = 8 + 32z + -32z Combine like terms: 32z + -32z = 0 12 + -14z = 8 + 0 12 + -14z = 8 Add '-12' to each side of the equation. 12 + -12 + -14z = 8 + -12 Combine like terms: 12 + -12 = 0 0 + -14z = 8 + -12 -14z = 8 + -12 Combine like terms: 8 + -12 = -4 -14z = -4 Divide each side by '-14'. z = 0.2857142857 Simplifying z = 0.2857142857
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