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Simplifying -32 = -2(4z + 5) Reorder the terms: -32 = -2(5 + 4z) -32 = (5 * -2 + 4z * -2) -32 = (-10 + -8z) Solving -32 = -10 + -8z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '8z' to each side of the equation. -32 + 8z = -10 + -8z + 8z Combine like terms: -8z + 8z = 0 -32 + 8z = -10 + 0 -32 + 8z = -10 Add '32' to each side of the equation. -32 + 32 + 8z = -10 + 32 Combine like terms: -32 + 32 = 0 0 + 8z = -10 + 32 8z = -10 + 32 Combine like terms: -10 + 32 = 22 8z = 22 Divide each side by '8'. z = 2.75 Simplifying z = 2.75
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