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Simplifying 3(7 + 3r) = 4(5 + 2r) (7 * 3 + 3r * 3) = 4(5 + 2r) (21 + 9r) = 4(5 + 2r) 21 + 9r = (5 * 4 + 2r * 4) 21 + 9r = (20 + 8r) Solving 21 + 9r = 20 + 8r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-8r' to each side of the equation. 21 + 9r + -8r = 20 + 8r + -8r Combine like terms: 9r + -8r = 1r 21 + 1r = 20 + 8r + -8r Combine like terms: 8r + -8r = 0 21 + 1r = 20 + 0 21 + 1r = 20 Add '-21' to each side of the equation. 21 + -21 + 1r = 20 + -21 Combine like terms: 21 + -21 = 0 0 + 1r = 20 + -21 1r = 20 + -21 Combine like terms: 20 + -21 = -1 1r = -1 Divide each side by '1'. r = -1 Simplifying r = -1
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