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Simplifying 2(8 + 7r) = 6(2 + 3r) (8 * 2 + 7r * 2) = 6(2 + 3r) (16 + 14r) = 6(2 + 3r) 16 + 14r = (2 * 6 + 3r * 6) 16 + 14r = (12 + 18r) Solving 16 + 14r = 12 + 18r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-18r' to each side of the equation. 16 + 14r + -18r = 12 + 18r + -18r Combine like terms: 14r + -18r = -4r 16 + -4r = 12 + 18r + -18r Combine like terms: 18r + -18r = 0 16 + -4r = 12 + 0 16 + -4r = 12 Add '-16' to each side of the equation. 16 + -16 + -4r = 12 + -16 Combine like terms: 16 + -16 = 0 0 + -4r = 12 + -16 -4r = 12 + -16 Combine like terms: 12 + -16 = -4 -4r = -4 Divide each side by '-4'. r = 1 Simplifying r = 1
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