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Simplifying 4(2z + 4) = 8 + -2(z + -4) Reorder the terms: 4(4 + 2z) = 8 + -2(z + -4) (4 * 4 + 2z * 4) = 8 + -2(z + -4) (16 + 8z) = 8 + -2(z + -4) Reorder the terms: 16 + 8z = 8 + -2(-4 + z) 16 + 8z = 8 + (-4 * -2 + z * -2) 16 + 8z = 8 + (8 + -2z) Combine like terms: 8 + 8 = 16 16 + 8z = 16 + -2z Add '-16' to each side of the equation. 16 + -16 + 8z = 16 + -16 + -2z Combine like terms: 16 + -16 = 0 0 + 8z = 16 + -16 + -2z 8z = 16 + -16 + -2z Combine like terms: 16 + -16 = 0 8z = 0 + -2z 8z = -2z Solving 8z = -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. 8z + 2z = -2z + 2z Combine like terms: 8z + 2z = 10z 10z = -2z + 2z Combine like terms: -2z + 2z = 0 10z = 0 Divide each side by '10'. z = 0.0 Simplifying z = 0.0
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