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