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Simplifying 6(4 + -1z) = 2z (4 * 6 + -1z * 6) = 2z (24 + -6z) = 2z Solving 24 + -6z = 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. 24 + -6z + -2z = 2z + -2z Combine like terms: -6z + -2z = -8z 24 + -8z = 2z + -2z Combine like terms: 2z + -2z = 0 24 + -8z = 0 Add '-24' to each side of the equation. 24 + -24 + -8z = 0 + -24 Combine like terms: 24 + -24 = 0 0 + -8z = 0 + -24 -8z = 0 + -24 Combine like terms: 0 + -24 = -24 -8z = -24 Divide each side by '-8'. z = 3 Simplifying z = 3
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