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Simplifying -5r + -7r + 2 = 5r + -1r Reorder the terms: 2 + -5r + -7r = 5r + -1r Combine like terms: -5r + -7r = -12r 2 + -12r = 5r + -1r Combine like terms: 5r + -1r = 4r 2 + -12r = 4r Solving 2 + -12r = 4r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-4r' to each side of the equation. 2 + -12r + -4r = 4r + -4r Combine like terms: -12r + -4r = -16r 2 + -16r = 4r + -4r Combine like terms: 4r + -4r = 0 2 + -16r = 0 Add '-2' to each side of the equation. 2 + -2 + -16r = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -16r = 0 + -2 -16r = 0 + -2 Combine like terms: 0 + -2 = -2 -16r = -2 Divide each side by '-16'. r = 0.125 Simplifying r = 0.125
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