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Simplifying 32(z + -1) = 6z + 5 Reorder the terms: 32(-1 + z) = 6z + 5 (-1 * 32 + z * 32) = 6z + 5 (-32 + 32z) = 6z + 5 Reorder the terms: -32 + 32z = 5 + 6z Solving -32 + 32z = 5 + 6z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-6z' to each side of the equation. -32 + 32z + -6z = 5 + 6z + -6z Combine like terms: 32z + -6z = 26z -32 + 26z = 5 + 6z + -6z Combine like terms: 6z + -6z = 0 -32 + 26z = 5 + 0 -32 + 26z = 5 Add '32' to each side of the equation. -32 + 32 + 26z = 5 + 32 Combine like terms: -32 + 32 = 0 0 + 26z = 5 + 32 26z = 5 + 32 Combine like terms: 5 + 32 = 37 26z = 37 Divide each side by '26'. z = 1.423076923 Simplifying z = 1.423076923
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