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Simplifying -6 = 3(2z + 8) Reorder the terms: -6 = 3(8 + 2z) -6 = (8 * 3 + 2z * 3) -6 = (24 + 6z) Solving -6 = 24 + 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. -6 + -6z = 24 + 6z + -6z Combine like terms: 6z + -6z = 0 -6 + -6z = 24 + 0 -6 + -6z = 24 Add '6' to each side of the equation. -6 + 6 + -6z = 24 + 6 Combine like terms: -6 + 6 = 0 0 + -6z = 24 + 6 -6z = 24 + 6 Combine like terms: 24 + 6 = 30 -6z = 30 Divide each side by '-6'. z = -5 Simplifying z = -5
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