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Simplifying -8(z + 3) + 3z = 0 Reorder the terms: -8(3 + z) + 3z = 0 (3 * -8 + z * -8) + 3z = 0 (-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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