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Simplifying 2r + -1(5 + -1r) = 1 + 2r 2r + (5 * -1 + -1r * -1) = 1 + 2r 2r + (-5 + 1r) = 1 + 2r Reorder the terms: -5 + 2r + 1r = 1 + 2r Combine like terms: 2r + 1r = 3r -5 + 3r = 1 + 2r Solving -5 + 3r = 1 + 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. -5 + 3r + -2r = 1 + 2r + -2r Combine like terms: 3r + -2r = 1r -5 + 1r = 1 + 2r + -2r Combine like terms: 2r + -2r = 0 -5 + 1r = 1 + 0 -5 + 1r = 1 Add '5' to each side of the equation. -5 + 5 + 1r = 1 + 5 Combine like terms: -5 + 5 = 0 0 + 1r = 1 + 5 1r = 1 + 5 Combine like terms: 1 + 5 = 6 1r = 6 Divide each side by '1'. r = 6 Simplifying r = 6
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