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Simplifying 2(4z + -4) + -3(z + 2) = 0 Reorder the terms: 2(-4 + 4z) + -3(z + 2) = 0 (-4 * 2 + 4z * 2) + -3(z + 2) = 0 (-8 + 8z) + -3(z + 2) = 0 Reorder the terms: -8 + 8z + -3(2 + z) = 0 -8 + 8z + (2 * -3 + z * -3) = 0 -8 + 8z + (-6 + -3z) = 0 Reorder the terms: -8 + -6 + 8z + -3z = 0 Combine like terms: -8 + -6 = -14 -14 + 8z + -3z = 0 Combine like terms: 8z + -3z = 5z -14 + 5z = 0 Solving -14 + 5z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 14 + 5z = 0 + 14 Combine like terms: -14 + 14 = 0 0 + 5z = 0 + 14 5z = 0 + 14 Combine like terms: 0 + 14 = 14 5z = 14 Divide each side by '5'. z = 2.8 Simplifying z = 2.8
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