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Simplifying 11 + 3r = -3r + 5(1 + r) 11 + 3r = -3r + (1 * 5 + r * 5) 11 + 3r = -3r + (5 + 5r) Reorder the terms: 11 + 3r = 5 + -3r + 5r Combine like terms: -3r + 5r = 2r 11 + 3r = 5 + 2r Solving 11 + 3r = 5 + 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. 11 + 3r + -2r = 5 + 2r + -2r Combine like terms: 3r + -2r = 1r 11 + 1r = 5 + 2r + -2r Combine like terms: 2r + -2r = 0 11 + 1r = 5 + 0 11 + 1r = 5 Add '-11' to each side of the equation. 11 + -11 + 1r = 5 + -11 Combine like terms: 11 + -11 = 0 0 + 1r = 5 + -11 1r = 5 + -11 Combine like terms: 5 + -11 = -6 1r = -6 Divide each side by '1'. r = -6 Simplifying r = -6
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