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Simplifying 2(4z + -1) = -3(z + 2) Reorder the terms: 2(-1 + 4z) = -3(z + 2) (-1 * 2 + 4z * 2) = -3(z + 2) (-2 + 8z) = -3(z + 2) Reorder the terms: -2 + 8z = -3(2 + z) -2 + 8z = (2 * -3 + z * -3) -2 + 8z = (-6 + -3z) Solving -2 + 8z = -6 + -3z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '3z' to each side of the equation. -2 + 8z + 3z = -6 + -3z + 3z Combine like terms: 8z + 3z = 11z -2 + 11z = -6 + -3z + 3z Combine like terms: -3z + 3z = 0 -2 + 11z = -6 + 0 -2 + 11z = -6 Add '2' to each side of the equation. -2 + 2 + 11z = -6 + 2 Combine like terms: -2 + 2 = 0 0 + 11z = -6 + 2 11z = -6 + 2 Combine like terms: -6 + 2 = -4 11z = -4 Divide each side by '11'. z = -0.3636363636 Simplifying z = -0.3636363636
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