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Simplifying 4(r + 2) = 2r + 40 Reorder the terms: 4(2 + r) = 2r + 40 (2 * 4 + r * 4) = 2r + 40 (8 + 4r) = 2r + 40 Reorder the terms: 8 + 4r = 40 + 2r Solving 8 + 4r = 40 + 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. 8 + 4r + -2r = 40 + 2r + -2r Combine like terms: 4r + -2r = 2r 8 + 2r = 40 + 2r + -2r Combine like terms: 2r + -2r = 0 8 + 2r = 40 + 0 8 + 2r = 40 Add '-8' to each side of the equation. 8 + -8 + 2r = 40 + -8 Combine like terms: 8 + -8 = 0 0 + 2r = 40 + -8 2r = 40 + -8 Combine like terms: 40 + -8 = 32 2r = 32 Divide each side by '2'. r = 16 Simplifying r = 16
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