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Simplifying 2(2r + 8) = 3r + 16 Reorder the terms: 2(8 + 2r) = 3r + 16 (8 * 2 + 2r * 2) = 3r + 16 (16 + 4r) = 3r + 16 Reorder the terms: 16 + 4r = 16 + 3r Add '-16' to each side of the equation. 16 + -16 + 4r = 16 + -16 + 3r Combine like terms: 16 + -16 = 0 0 + 4r = 16 + -16 + 3r 4r = 16 + -16 + 3r Combine like terms: 16 + -16 = 0 4r = 0 + 3r 4r = 3r Solving 4r = 3r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-3r' to each side of the equation. 4r + -3r = 3r + -3r Combine like terms: 4r + -3r = 1r 1r = 3r + -3r Combine like terms: 3r + -3r = 0 1r = 0 Divide each side by '1'. r = 0 Simplifying r = 0
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