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Simplifying -4(2 + -5z) = 2(3z + 10) (2 * -4 + -5z * -4) = 2(3z + 10) (-8 + 20z) = 2(3z + 10) Reorder the terms: -8 + 20z = 2(10 + 3z) -8 + 20z = (10 * 2 + 3z * 2) -8 + 20z = (20 + 6z) Solving -8 + 20z = 20 + 6z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-6z' to each side of the equation. -8 + 20z + -6z = 20 + 6z + -6z Combine like terms: 20z + -6z = 14z -8 + 14z = 20 + 6z + -6z Combine like terms: 6z + -6z = 0 -8 + 14z = 20 + 0 -8 + 14z = 20 Add '8' to each side of the equation. -8 + 8 + 14z = 20 + 8 Combine like terms: -8 + 8 = 0 0 + 14z = 20 + 8 14z = 20 + 8 Combine like terms: 20 + 8 = 28 14z = 28 Divide each side by '14'. z = 2 Simplifying z = 2
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