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Simplifying 2(4z + 2) + -3(z + 2) = 0 Reorder the terms: 2(2 + 4z) + -3(z + 2) = 0 (2 * 2 + 4z * 2) + -3(z + 2) = 0 (4 + 8z) + -3(z + 2) = 0 Reorder the terms: 4 + 8z + -3(2 + z) = 0 4 + 8z + (2 * -3 + z * -3) = 0 4 + 8z + (-6 + -3z) = 0 Reorder the terms: 4 + -6 + 8z + -3z = 0 Combine like terms: 4 + -6 = -2 -2 + 8z + -3z = 0 Combine like terms: 8z + -3z = 5z -2 + 5z = 0 Solving -2 + 5z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + 5z = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 5z = 0 + 2 5z = 0 + 2 Combine like terms: 0 + 2 = 2 5z = 2 Divide each side by '5'. z = 0.4 Simplifying z = 0.4
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