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Simplifying 4(3 + 2z) = 48 (3 * 4 + 2z * 4) = 48 (12 + 8z) = 48 Solving 12 + 8z = 48 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + 8z = 48 + -12 Combine like terms: 12 + -12 = 0 0 + 8z = 48 + -12 8z = 48 + -12 Combine like terms: 48 + -12 = 36 8z = 36 Divide each side by '8'. z = 4.5 Simplifying z = 4.5
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