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Simplifying 137 = 7(7 + -1r) + -4r 137 = (7 * 7 + -1r * 7) + -4r 137 = (49 + -7r) + -4r Combine like terms: -7r + -4r = -11r 137 = 49 + -11r Solving 137 = 49 + -11r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '11r' to each side of the equation. 137 + 11r = 49 + -11r + 11r Combine like terms: -11r + 11r = 0 137 + 11r = 49 + 0 137 + 11r = 49 Add '-137' to each side of the equation. 137 + -137 + 11r = 49 + -137 Combine like terms: 137 + -137 = 0 0 + 11r = 49 + -137 11r = 49 + -137 Combine like terms: 49 + -137 = -88 11r = -88 Divide each side by '11'. r = -8 Simplifying r = -8
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