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Simplifying r + 5r + -3r + -1r + 2 = 40 Reorder the terms: 2 + r + 5r + -3r + -1r = 40 Combine like terms: r + 5r = 6r 2 + 6r + -3r + -1r = 40 Combine like terms: 6r + -3r = 3r 2 + 3r + -1r = 40 Combine like terms: 3r + -1r = 2r 2 + 2r = 40 Solving 2 + 2r = 40 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 2r = 40 + -2 Combine like terms: 2 + -2 = 0 0 + 2r = 40 + -2 2r = 40 + -2 Combine like terms: 40 + -2 = 38 2r = 38 Divide each side by '2'. r = 19 Simplifying r = 19
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