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Simplifying 13(r + 7) = 2r + -9 Reorder the terms: 13(7 + r) = 2r + -9 (7 * 13 + r * 13) = 2r + -9 (91 + 13r) = 2r + -9 Reorder the terms: 91 + 13r = -9 + 2r Solving 91 + 13r = -9 + 2r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-2r' to each side of the equation. 91 + 13r + -2r = -9 + 2r + -2r Combine like terms: 13r + -2r = 11r 91 + 11r = -9 + 2r + -2r Combine like terms: 2r + -2r = 0 91 + 11r = -9 + 0 91 + 11r = -9 Add '-91' to each side of the equation. 91 + -91 + 11r = -9 + -91 Combine like terms: 91 + -91 = 0 0 + 11r = -9 + -91 11r = -9 + -91 Combine like terms: -9 + -91 = -100 11r = -100 Divide each side by '11'. r = -9.090909091 Simplifying r = -9.090909091
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