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Simplifying 2(2r + 8) = 3(2r + 4) Reorder the terms: 2(8 + 2r) = 3(2r + 4) (8 * 2 + 2r * 2) = 3(2r + 4) (16 + 4r) = 3(2r + 4) Reorder the terms: 16 + 4r = 3(4 + 2r) 16 + 4r = (4 * 3 + 2r * 3) 16 + 4r = (12 + 6r) Solving 16 + 4r = 12 + 6r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-6r' to each side of the equation. 16 + 4r + -6r = 12 + 6r + -6r Combine like terms: 4r + -6r = -2r 16 + -2r = 12 + 6r + -6r Combine like terms: 6r + -6r = 0 16 + -2r = 12 + 0 16 + -2r = 12 Add '-16' to each side of the equation. 16 + -16 + -2r = 12 + -16 Combine like terms: 16 + -16 = 0 0 + -2r = 12 + -16 -2r = 12 + -16 Combine like terms: 12 + -16 = -4 -2r = -4 Divide each side by '-2'. r = 2 Simplifying r = 2
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