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Simplifying 4(3 + -2z) = -84 (3 * 4 + -2z * 4) = -84 (12 + -8z) = -84 Solving 12 + -8z = -84 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 = -84 + -12 Combine like terms: 12 + -12 = 0 0 + -8z = -84 + -12 -8z = -84 + -12 Combine like terms: -84 + -12 = -96 -8z = -96 Divide each side by '-8'. z = 12 Simplifying z = 12
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