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Simplifying -8(z + 4) + 5z = 0 Reorder the terms: -8(4 + z) + 5z = 0 (4 * -8 + z * -8) + 5z = 0 (-32 + -8z) + 5z = 0 Combine like terms: -8z + 5z = -3z -32 + -3z = 0 Solving -32 + -3z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '32' to each side of the equation. -32 + 32 + -3z = 0 + 32 Combine like terms: -32 + 32 = 0 0 + -3z = 0 + 32 -3z = 0 + 32 Combine like terms: 0 + 32 = 32 -3z = 32 Divide each side by '-3'. z = -10.66666667 Simplifying z = -10.66666667
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