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Simplifying 9(13r + 3) + -7r = 27 + 14r Reorder the terms: 9(3 + 13r) + -7r = 27 + 14r (3 * 9 + 13r * 9) + -7r = 27 + 14r (27 + 117r) + -7r = 27 + 14r Combine like terms: 117r + -7r = 110r 27 + 110r = 27 + 14r Add '-27' to each side of the equation. 27 + -27 + 110r = 27 + -27 + 14r Combine like terms: 27 + -27 = 0 0 + 110r = 27 + -27 + 14r 110r = 27 + -27 + 14r Combine like terms: 27 + -27 = 0 110r = 0 + 14r 110r = 14r Solving 110r = 14r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-14r' to each side of the equation. 110r + -14r = 14r + -14r Combine like terms: 110r + -14r = 96r 96r = 14r + -14r Combine like terms: 14r + -14r = 0 96r = 0 Divide each side by '96'. r = 0 Simplifying r = 0
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