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Simplifying 2(2 + 3z) = 8 + -2(4z + 5) (2 * 2 + 3z * 2) = 8 + -2(4z + 5) (4 + 6z) = 8 + -2(4z + 5) Reorder the terms: 4 + 6z = 8 + -2(5 + 4z) 4 + 6z = 8 + (5 * -2 + 4z * -2) 4 + 6z = 8 + (-10 + -8z) Combine like terms: 8 + -10 = -2 4 + 6z = -2 + -8z Solving 4 + 6z = -2 + -8z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '8z' to each side of the equation. 4 + 6z + 8z = -2 + -8z + 8z Combine like terms: 6z + 8z = 14z 4 + 14z = -2 + -8z + 8z Combine like terms: -8z + 8z = 0 4 + 14z = -2 + 0 4 + 14z = -2 Add '-4' to each side of the equation. 4 + -4 + 14z = -2 + -4 Combine like terms: 4 + -4 = 0 0 + 14z = -2 + -4 14z = -2 + -4 Combine like terms: -2 + -4 = -6 14z = -6 Divide each side by '14'. z = -0.4285714286 Simplifying z = -0.4285714286
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