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Simplifying -4(2z + -6) = -3(z + -4) + z Reorder the terms: -4(-6 + 2z) = -3(z + -4) + z (-6 * -4 + 2z * -4) = -3(z + -4) + z (24 + -8z) = -3(z + -4) + z Reorder the terms: 24 + -8z = -3(-4 + z) + z 24 + -8z = (-4 * -3 + z * -3) + z 24 + -8z = (12 + -3z) + z Combine like terms: -3z + z = -2z 24 + -8z = 12 + -2z Solving 24 + -8z = 12 + -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 + -8z + 2z = 12 + -2z + 2z Combine like terms: -8z + 2z = -6z 24 + -6z = 12 + -2z + 2z Combine like terms: -2z + 2z = 0 24 + -6z = 12 + 0 24 + -6z = 12 Add '-24' to each side of the equation. 24 + -24 + -6z = 12 + -24 Combine like terms: 24 + -24 = 0 0 + -6z = 12 + -24 -6z = 12 + -24 Combine like terms: 12 + -24 = -12 -6z = -12 Divide each side by '-6'. z = 2 Simplifying z = 2
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