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Simplifying 2(4z + -6) + -3(z + 4) = 0 Reorder the terms: 2(-6 + 4z) + -3(z + 4) = 0 (-6 * 2 + 4z * 2) + -3(z + 4) = 0 (-12 + 8z) + -3(z + 4) = 0 Reorder the terms: -12 + 8z + -3(4 + z) = 0 -12 + 8z + (4 * -3 + z * -3) = 0 -12 + 8z + (-12 + -3z) = 0 Reorder the terms: -12 + -12 + 8z + -3z = 0 Combine like terms: -12 + -12 = -24 -24 + 8z + -3z = 0 Combine like terms: 8z + -3z = 5z -24 + 5z = 0 Solving -24 + 5z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '24' to each side of the equation. -24 + 24 + 5z = 0 + 24 Combine like terms: -24 + 24 = 0 0 + 5z = 0 + 24 5z = 0 + 24 Combine like terms: 0 + 24 = 24 5z = 24 Divide each side by '5'. z = 4.8 Simplifying z = 4.8
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