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Simplifying 4(2z + -4) = -4(z + -2) Reorder the terms: 4(-4 + 2z) = -4(z + -2) (-4 * 4 + 2z * 4) = -4(z + -2) (-16 + 8z) = -4(z + -2) Reorder the terms: -16 + 8z = -4(-2 + z) -16 + 8z = (-2 * -4 + z * -4) -16 + 8z = (8 + -4z) Solving -16 + 8z = 8 + -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. -16 + 8z + 4z = 8 + -4z + 4z Combine like terms: 8z + 4z = 12z -16 + 12z = 8 + -4z + 4z Combine like terms: -4z + 4z = 0 -16 + 12z = 8 + 0 -16 + 12z = 8 Add '16' to each side of the equation. -16 + 16 + 12z = 8 + 16 Combine like terms: -16 + 16 = 0 0 + 12z = 8 + 16 12z = 8 + 16 Combine like terms: 8 + 16 = 24 12z = 24 Divide each side by '12'. z = 2 Simplifying z = 2
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