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Simplifying 2 = 3(z + 4) Reorder the terms: 2 = 3(4 + z) 2 = (4 * 3 + z * 3) 2 = (12 + 3z) Solving 2 = 12 + 3z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-3z' to each side of the equation. 2 + -3z = 12 + 3z + -3z Combine like terms: 3z + -3z = 0 2 + -3z = 12 + 0 2 + -3z = 12 Add '-2' to each side of the equation. 2 + -2 + -3z = 12 + -2 Combine like terms: 2 + -2 = 0 0 + -3z = 12 + -2 -3z = 12 + -2 Combine like terms: 12 + -2 = 10 -3z = 10 Divide each side by '-3'. z = -3.333333333 Simplifying z = -3.333333333
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