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Simplifying -381 = 7(8r + 5) + -4r Reorder the terms: -381 = 7(5 + 8r) + -4r -381 = (5 * 7 + 8r * 7) + -4r -381 = (35 + 56r) + -4r Combine like terms: 56r + -4r = 52r -381 = 35 + 52r Solving -381 = 35 + 52r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-52r' to each side of the equation. -381 + -52r = 35 + 52r + -52r Combine like terms: 52r + -52r = 0 -381 + -52r = 35 + 0 -381 + -52r = 35 Add '381' to each side of the equation. -381 + 381 + -52r = 35 + 381 Combine like terms: -381 + 381 = 0 0 + -52r = 35 + 381 -52r = 35 + 381 Combine like terms: 35 + 381 = 416 -52r = 416 Divide each side by '-52'. r = -8 Simplifying r = -8
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