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Simplifying r + r + 3 + 9r = 51 + -1r Reorder the terms: 3 + r + r + 9r = 51 + -1r Combine like terms: r + r = 2r 3 + 2r + 9r = 51 + -1r Combine like terms: 2r + 9r = 11r 3 + 11r = 51 + -1r Solving 3 + 11r = 51 + -1r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add 'r' to each side of the equation. 3 + 11r + r = 51 + -1r + r Combine like terms: 11r + r = 12r 3 + 12r = 51 + -1r + r Combine like terms: -1r + r = 0 3 + 12r = 51 + 0 3 + 12r = 51 Add '-3' to each side of the equation. 3 + -3 + 12r = 51 + -3 Combine like terms: 3 + -3 = 0 0 + 12r = 51 + -3 12r = 51 + -3 Combine like terms: 51 + -3 = 48 12r = 48 Divide each side by '12'. r = 4 Simplifying r = 4
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