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Simplifying 2(3z + 5) = 4(5z + 10) Reorder the terms: 2(5 + 3z) = 4(5z + 10) (5 * 2 + 3z * 2) = 4(5z + 10) (10 + 6z) = 4(5z + 10) Reorder the terms: 10 + 6z = 4(10 + 5z) 10 + 6z = (10 * 4 + 5z * 4) 10 + 6z = (40 + 20z) Solving 10 + 6z = 40 + 20z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-20z' to each side of the equation. 10 + 6z + -20z = 40 + 20z + -20z Combine like terms: 6z + -20z = -14z 10 + -14z = 40 + 20z + -20z Combine like terms: 20z + -20z = 0 10 + -14z = 40 + 0 10 + -14z = 40 Add '-10' to each side of the equation. 10 + -10 + -14z = 40 + -10 Combine like terms: 10 + -10 = 0 0 + -14z = 40 + -10 -14z = 40 + -10 Combine like terms: 40 + -10 = 30 -14z = 30 Divide each side by '-14'. z = -2.142857143 Simplifying z = -2.142857143
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