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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 = 10z -24 + 10z = 12 + -2z + 2z Combine like terms: -2z + 2z = 0 -24 + 10z = 12 + 0 -24 + 10z = 12 Add '24' to each side of the equation. -24 + 24 + 10z = 12 + 24 Combine like terms: -24 + 24 = 0 0 + 10z = 12 + 24 10z = 12 + 24 Combine like terms: 12 + 24 = 36 10z = 36 Divide each side by '10'. z = 3.6 Simplifying z = 3.6
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