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Simplifying 3r + 7r + -8 = -4r + 1 Reorder the terms: -8 + 3r + 7r = -4r + 1 Combine like terms: 3r + 7r = 10r -8 + 10r = -4r + 1 Reorder the terms: -8 + 10r = 1 + -4r Solving -8 + 10r = 1 + -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. -8 + 10r + 4r = 1 + -4r + 4r Combine like terms: 10r + 4r = 14r -8 + 14r = 1 + -4r + 4r Combine like terms: -4r + 4r = 0 -8 + 14r = 1 + 0 -8 + 14r = 1 Add '8' to each side of the equation. -8 + 8 + 14r = 1 + 8 Combine like terms: -8 + 8 = 0 0 + 14r = 1 + 8 14r = 1 + 8 Combine like terms: 1 + 8 = 9 14r = 9 Divide each side by '14'. r = 0.6428571429 Simplifying r = 0.6428571429
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