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Simplifying 9 + 15r + -1 = 9r + 125 + -7r Reorder the terms: 9 + -1 + 15r = 9r + 125 + -7r Combine like terms: 9 + -1 = 8 8 + 15r = 9r + 125 + -7r Reorder the terms: 8 + 15r = 125 + 9r + -7r Combine like terms: 9r + -7r = 2r 8 + 15r = 125 + 2r Solving 8 + 15r = 125 + 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. 8 + 15r + -2r = 125 + 2r + -2r Combine like terms: 15r + -2r = 13r 8 + 13r = 125 + 2r + -2r Combine like terms: 2r + -2r = 0 8 + 13r = 125 + 0 8 + 13r = 125 Add '-8' to each side of the equation. 8 + -8 + 13r = 125 + -8 Combine like terms: 8 + -8 = 0 0 + 13r = 125 + -8 13r = 125 + -8 Combine like terms: 125 + -8 = 117 13r = 117 Divide each side by '13'. r = 9 Simplifying r = 9
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