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Simplifying 2(4z + -10) = 5z + -32 Reorder the terms: 2(-10 + 4z) = 5z + -32 (-10 * 2 + 4z * 2) = 5z + -32 (-20 + 8z) = 5z + -32 Reorder the terms: -20 + 8z = -32 + 5z Solving -20 + 8z = -32 + 5z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-5z' to each side of the equation. -20 + 8z + -5z = -32 + 5z + -5z Combine like terms: 8z + -5z = 3z -20 + 3z = -32 + 5z + -5z Combine like terms: 5z + -5z = 0 -20 + 3z = -32 + 0 -20 + 3z = -32 Add '20' to each side of the equation. -20 + 20 + 3z = -32 + 20 Combine like terms: -20 + 20 = 0 0 + 3z = -32 + 20 3z = -32 + 20 Combine like terms: -32 + 20 = -12 3z = -12 Divide each side by '3'. z = -4 Simplifying z = -4
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