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