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Simplifying 8 + 2(z + -4) = -4z + 1 Reorder the terms: 8 + 2(-4 + z) = -4z + 1 8 + (-4 * 2 + z * 2) = -4z + 1 8 + (-8 + 2z) = -4z + 1 Combine like terms: 8 + -8 = 0 0 + 2z = -4z + 1 2z = -4z + 1 Reorder the terms: 2z = 1 + -4z Solving 2z = 1 + -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. 2z + 4z = 1 + -4z + 4z Combine like terms: 2z + 4z = 6z 6z = 1 + -4z + 4z Combine like terms: -4z + 4z = 0 6z = 1 + 0 6z = 1 Divide each side by '6'. z = 0.1666666667 Simplifying z = 0.1666666667
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