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Simplifying 16(3r + 5) = -8(7r + 1) Reorder the terms: 16(5 + 3r) = -8(7r + 1) (5 * 16 + 3r * 16) = -8(7r + 1) (80 + 48r) = -8(7r + 1) Reorder the terms: 80 + 48r = -8(1 + 7r) 80 + 48r = (1 * -8 + 7r * -8) 80 + 48r = (-8 + -56r) Solving 80 + 48r = -8 + -56r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '56r' to each side of the equation. 80 + 48r + 56r = -8 + -56r + 56r Combine like terms: 48r + 56r = 104r 80 + 104r = -8 + -56r + 56r Combine like terms: -56r + 56r = 0 80 + 104r = -8 + 0 80 + 104r = -8 Add '-80' to each side of the equation. 80 + -80 + 104r = -8 + -80 Combine like terms: 80 + -80 = 0 0 + 104r = -8 + -80 104r = -8 + -80 Combine like terms: -8 + -80 = -88 104r = -88 Divide each side by '104'. r = -0.8461538462 Simplifying r = -0.8461538462
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