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Simplifying 32 = 12 + -4(2z + -3) Reorder the terms: 32 = 12 + -4(-3 + 2z) 32 = 12 + (-3 * -4 + 2z * -4) 32 = 12 + (12 + -8z) Combine like terms: 12 + 12 = 24 32 = 24 + -8z Solving 32 = 24 + -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 = 24 + -8z + 8z Combine like terms: -8z + 8z = 0 32 + 8z = 24 + 0 32 + 8z = 24 Add '-32' to each side of the equation. 32 + -32 + 8z = 24 + -32 Combine like terms: 32 + -32 = 0 0 + 8z = 24 + -32 8z = 24 + -32 Combine like terms: 24 + -32 = -8 8z = -8 Divide each side by '8'. z = -1 Simplifying z = -1
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