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Simplifying 4r + -2 + 3r + 8 = 2r + 12 Reorder the terms: -2 + 8 + 4r + 3r = 2r + 12 Combine like terms: -2 + 8 = 6 6 + 4r + 3r = 2r + 12 Combine like terms: 4r + 3r = 7r 6 + 7r = 2r + 12 Reorder the terms: 6 + 7r = 12 + 2r Solving 6 + 7r = 12 + 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. 6 + 7r + -2r = 12 + 2r + -2r Combine like terms: 7r + -2r = 5r 6 + 5r = 12 + 2r + -2r Combine like terms: 2r + -2r = 0 6 + 5r = 12 + 0 6 + 5r = 12 Add '-6' to each side of the equation. 6 + -6 + 5r = 12 + -6 Combine like terms: 6 + -6 = 0 0 + 5r = 12 + -6 5r = 12 + -6 Combine like terms: 12 + -6 = 6 5r = 6 Divide each side by '5'. r = 1.2 Simplifying r = 1.2
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