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Simplifying (4r + -2) + (3r + 1) = 8 Reorder the terms: (-2 + 4r) + (3r + 1) = 8 Remove parenthesis around (-2 + 4r) -2 + 4r + (3r + 1) = 8 Reorder the terms: -2 + 4r + (1 + 3r) = 8 Remove parenthesis around (1 + 3r) -2 + 4r + 1 + 3r = 8 Reorder the terms: -2 + 1 + 4r + 3r = 8 Combine like terms: -2 + 1 = -1 -1 + 4r + 3r = 8 Combine like terms: 4r + 3r = 7r -1 + 7r = 8 Solving -1 + 7r = 8 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 7r = 8 + 1 Combine like terms: -1 + 1 = 0 0 + 7r = 8 + 1 7r = 8 + 1 Combine like terms: 8 + 1 = 9 7r = 9 Divide each side by '7'. r = 1.285714286 Simplifying r = 1.285714286
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