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Simplifying 2 = 4(z + 1) Reorder the terms: 2 = 4(1 + z) 2 = (1 * 4 + z * 4) 2 = (4 + 4z) Solving 2 = 4 + 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. 2 + -4z = 4 + 4z + -4z Combine like terms: 4z + -4z = 0 2 + -4z = 4 + 0 2 + -4z = 4 Add '-2' to each side of the equation. 2 + -2 + -4z = 4 + -2 Combine like terms: 2 + -2 = 0 0 + -4z = 4 + -2 -4z = 4 + -2 Combine like terms: 4 + -2 = 2 -4z = 2 Divide each side by '-4'. z = -0.5 Simplifying z = -0.5
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