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Simplifying 3(z + 1) = 4z + 8 Reorder the terms: 3(1 + z) = 4z + 8 (1 * 3 + z * 3) = 4z + 8 (3 + 3z) = 4z + 8 Reorder the terms: 3 + 3z = 8 + 4z Solving 3 + 3z = 8 + 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. 3 + 3z + -4z = 8 + 4z + -4z Combine like terms: 3z + -4z = -1z 3 + -1z = 8 + 4z + -4z Combine like terms: 4z + -4z = 0 3 + -1z = 8 + 0 3 + -1z = 8 Add '-3' to each side of the equation. 3 + -3 + -1z = 8 + -3 Combine like terms: 3 + -3 = 0 0 + -1z = 8 + -3 -1z = 8 + -3 Combine like terms: 8 + -3 = 5 -1z = 5 Divide each side by '-1'. z = -5 Simplifying z = -5
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