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Simplifying 4z + 2 = 2(r + 3) Reorder the terms: 2 + 4z = 2(r + 3) Reorder the terms: 2 + 4z = 2(3 + r) 2 + 4z = (3 * 2 + r * 2) 2 + 4z = (6 + 2r) Solving 2 + 4z = 6 + 2r Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 4z = 6 + -2 + 2r Combine like terms: 2 + -2 = 0 0 + 4z = 6 + -2 + 2r 4z = 6 + -2 + 2r Combine like terms: 6 + -2 = 4 4z = 4 + 2r Divide each side by '4'. z = 1 + 0.5r Simplifying z = 1 + 0.5r
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