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Simplifying 8 + 4r + -4 = 5r + 10 + -3r Reorder the terms: 8 + -4 + 4r = 5r + 10 + -3r Combine like terms: 8 + -4 = 4 4 + 4r = 5r + 10 + -3r Reorder the terms: 4 + 4r = 10 + 5r + -3r Combine like terms: 5r + -3r = 2r 4 + 4r = 10 + 2r Solving 4 + 4r = 10 + 2r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-2r' to each side of the equation. 4 + 4r + -2r = 10 + 2r + -2r Combine like terms: 4r + -2r = 2r 4 + 2r = 10 + 2r + -2r Combine like terms: 2r + -2r = 0 4 + 2r = 10 + 0 4 + 2r = 10 Add '-4' to each side of the equation. 4 + -4 + 2r = 10 + -4 Combine like terms: 4 + -4 = 0 0 + 2r = 10 + -4 2r = 10 + -4 Combine like terms: 10 + -4 = 6 2r = 6 Divide each side by '2'. r = 3 Simplifying r = 3
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