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Simplifying 8[z + -12] = 3[2z + 4] Reorder the terms: 8[-12 + z] = 3[2z + 4] [-12 * 8 + z * 8] = 3[2z + 4] [-96 + 8z] = 3[2z + 4] Reorder the terms: -96 + 8z = 3[4 + 2z] -96 + 8z = [4 * 3 + 2z * 3] -96 + 8z = [12 + 6z] Solving -96 + 8z = 12 + 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. -96 + 8z + -6z = 12 + 6z + -6z Combine like terms: 8z + -6z = 2z -96 + 2z = 12 + 6z + -6z Combine like terms: 6z + -6z = 0 -96 + 2z = 12 + 0 -96 + 2z = 12 Add '96' to each side of the equation. -96 + 96 + 2z = 12 + 96 Combine like terms: -96 + 96 = 0 0 + 2z = 12 + 96 2z = 12 + 96 Combine like terms: 12 + 96 = 108 2z = 108 Divide each side by '2'. z = 54 Simplifying z = 54
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