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Simplifying -6(3z + -2) = 5 + -4z Reorder the terms: -6(-2 + 3z) = 5 + -4z (-2 * -6 + 3z * -6) = 5 + -4z (12 + -18z) = 5 + -4z Solving 12 + -18z = 5 + -4z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '4z' to each side of the equation. 12 + -18z + 4z = 5 + -4z + 4z Combine like terms: -18z + 4z = -14z 12 + -14z = 5 + -4z + 4z Combine like terms: -4z + 4z = 0 12 + -14z = 5 + 0 12 + -14z = 5 Add '-12' to each side of the equation. 12 + -12 + -14z = 5 + -12 Combine like terms: 12 + -12 = 0 0 + -14z = 5 + -12 -14z = 5 + -12 Combine like terms: 5 + -12 = -7 -14z = -7 Divide each side by '-14'. z = 0.5 Simplifying z = 0.5
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