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Simplifying 1 + -3r + 5r = 1 + (-5r) Combine like terms: -3r + 5r = 2r 1 + 2r = 1 + (-5r) Add '-1' to each side of the equation. 1 + -1 + 2r = 1 + -1 + (-5r) Combine like terms: 1 + -1 = 0 0 + 2r = 1 + -1 + (-5r) 2r = 1 + -1 + (-5r) Combine like terms: 1 + -1 = 0 2r = 0 + (-5r) 2r = (-5r) Solving 2r = (-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. 2r + (5r) = (-5r) + (5r) Combine like terms: 2r + (5r) = 7r 7r = (-5r) + (5r) Combine like terms: (-5r) + (5r) = 0 7r = 0 Divide each side by '7'. r = 0 Simplifying r = 0
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