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Simplifying 4(2 + -1z) + 8 = 8(2 + -1z) (2 * 4 + -1z * 4) + 8 = 8(2 + -1z) (8 + -4z) + 8 = 8(2 + -1z) Reorder the terms: 8 + 8 + -4z = 8(2 + -1z) Combine like terms: 8 + 8 = 16 16 + -4z = 8(2 + -1z) 16 + -4z = (2 * 8 + -1z * 8) 16 + -4z = (16 + -8z) Add '-16' to each side of the equation. 16 + -16 + -4z = 16 + -16 + -8z Combine like terms: 16 + -16 = 0 0 + -4z = 16 + -16 + -8z -4z = 16 + -16 + -8z Combine like terms: 16 + -16 = 0 -4z = 0 + -8z -4z = -8z Solving -4z = -8z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '8z' to each side of the equation. -4z + 8z = -8z + 8z Combine like terms: -4z + 8z = 4z 4z = -8z + 8z Combine like terms: -8z + 8z = 0 4z = 0 Divide each side by '4'. z = 0 Simplifying z = 0
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