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Simplifying (2r + -3) + 7(2 + -1r) = 3(r + 2) + -7 Reorder the terms: (-3 + 2r) + 7(2 + -1r) = 3(r + 2) + -7 Remove parenthesis around (-3 + 2r) -3 + 2r + 7(2 + -1r) = 3(r + 2) + -7 -3 + 2r + (2 * 7 + -1r * 7) = 3(r + 2) + -7 -3 + 2r + (14 + -7r) = 3(r + 2) + -7 Reorder the terms: -3 + 14 + 2r + -7r = 3(r + 2) + -7 Combine like terms: -3 + 14 = 11 11 + 2r + -7r = 3(r + 2) + -7 Combine like terms: 2r + -7r = -5r 11 + -5r = 3(r + 2) + -7 Reorder the terms: 11 + -5r = 3(2 + r) + -7 11 + -5r = (2 * 3 + r * 3) + -7 11 + -5r = (6 + 3r) + -7 Reorder the terms: 11 + -5r = 6 + -7 + 3r Combine like terms: 6 + -7 = -1 11 + -5r = -1 + 3r Solving 11 + -5r = -1 + 3r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-3r' to each side of the equation. 11 + -5r + -3r = -1 + 3r + -3r Combine like terms: -5r + -3r = -8r 11 + -8r = -1 + 3r + -3r Combine like terms: 3r + -3r = 0 11 + -8r = -1 + 0 11 + -8r = -1 Add '-11' to each side of the equation. 11 + -11 + -8r = -1 + -11 Combine like terms: 11 + -11 = 0 0 + -8r = -1 + -11 -8r = -1 + -11 Combine like terms: -1 + -11 = -12 -8r = -12 Divide each side by '-8'. r = 1.5 Simplifying r = 1.5
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