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Simplifying 3(3z + -1) = 2z + 32 Reorder the terms: 3(-1 + 3z) = 2z + 32 (-1 * 3 + 3z * 3) = 2z + 32 (-3 + 9z) = 2z + 32 Reorder the terms: -3 + 9z = 32 + 2z Solving -3 + 9z = 32 + 2z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-2z' to each side of the equation. -3 + 9z + -2z = 32 + 2z + -2z Combine like terms: 9z + -2z = 7z -3 + 7z = 32 + 2z + -2z Combine like terms: 2z + -2z = 0 -3 + 7z = 32 + 0 -3 + 7z = 32 Add '3' to each side of the equation. -3 + 3 + 7z = 32 + 3 Combine like terms: -3 + 3 = 0 0 + 7z = 32 + 3 7z = 32 + 3 Combine like terms: 32 + 3 = 35 7z = 35 Divide each side by '7'. z = 5 Simplifying z = 5
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