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Simplifying 6(12 + -2z) = -2z (12 * 6 + -2z * 6) = -2z (72 + -12z) = -2z Solving 72 + -12z = -2z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '2z' to each side of the equation. 72 + -12z + 2z = -2z + 2z Combine like terms: -12z + 2z = -10z 72 + -10z = -2z + 2z Combine like terms: -2z + 2z = 0 72 + -10z = 0 Add '-72' to each side of the equation. 72 + -72 + -10z = 0 + -72 Combine like terms: 72 + -72 = 0 0 + -10z = 0 + -72 -10z = 0 + -72 Combine like terms: 0 + -72 = -72 -10z = -72 Divide each side by '-10'. z = 7.2 Simplifying z = 7.2
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