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