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Simplifying 8 + 2(z + -4) = 3z + 1 Reorder the terms: 8 + 2(-4 + z) = 3z + 1 8 + (-4 * 2 + z * 2) = 3z + 1 8 + (-8 + 2z) = 3z + 1 Combine like terms: 8 + -8 = 0 0 + 2z = 3z + 1 2z = 3z + 1 Reorder the terms: 2z = 1 + 3z Solving 2z = 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. 2z + -3z = 1 + 3z + -3z Combine like terms: 2z + -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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