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Simplifying -7r + 13.292 = -1.97r + 3.1(3.8 + -6.5r) Reorder the terms: 13.292 + -7r = -1.97r + 3.1(3.8 + -6.5r) 13.292 + -7r = -1.97r + (3.8 * 3.1 + -6.5r * 3.1) 13.292 + -7r = -1.97r + (11.78 + -20.15r) Reorder the terms: 13.292 + -7r = 11.78 + -1.97r + -20.15r Combine like terms: -1.97r + -20.15r = -22.12r 13.292 + -7r = 11.78 + -22.12r Solving 13.292 + -7r = 11.78 + -22.12r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '22.12r' to each side of the equation. 13.292 + -7r + 22.12r = 11.78 + -22.12r + 22.12r Combine like terms: -7r + 22.12r = 15.12r 13.292 + 15.12r = 11.78 + -22.12r + 22.12r Combine like terms: -22.12r + 22.12r = 0.00 13.292 + 15.12r = 11.78 + 0.00 13.292 + 15.12r = 11.78 Add '-13.292' to each side of the equation. 13.292 + -13.292 + 15.12r = 11.78 + -13.292 Combine like terms: 13.292 + -13.292 = 0.000 0.000 + 15.12r = 11.78 + -13.292 15.12r = 11.78 + -13.292 Combine like terms: 11.78 + -13.292 = -1.512 15.12r = -1.512 Divide each side by '15.12'. r = -0.1 Simplifying r = -0.1
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