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Simplifying 8 + 4(z + -2) = 3z + 1 Reorder the terms: 8 + 4(-2 + z) = 3z + 1 8 + (-2 * 4 + z * 4) = 3z + 1 8 + (-8 + 4z) = 3z + 1 Combine like terms: 8 + -8 = 0 0 + 4z = 3z + 1 4z = 3z + 1 Reorder the terms: 4z = 1 + 3z Solving 4z = 1 + 3z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-3z' to each side of the equation. 4z + -3z = 1 + 3z + -3z Combine like terms: 4z + -3z = 1z 1z = 1 + 3z + -3z Combine like terms: 3z + -3z = 0 1z = 1 + 0 1z = 1 Divide each side by '1'. z = 1 Simplifying z = 1
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