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Simplifying 2r + 7 + -3r = 5r + -2 Reorder the terms: 7 + 2r + -3r = 5r + -2 Combine like terms: 2r + -3r = -1r 7 + -1r = 5r + -2 Reorder the terms: 7 + -1r = -2 + 5r Solving 7 + -1r = -2 + 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. 7 + -1r + -5r = -2 + 5r + -5r Combine like terms: -1r + -5r = -6r 7 + -6r = -2 + 5r + -5r Combine like terms: 5r + -5r = 0 7 + -6r = -2 + 0 7 + -6r = -2 Add '-7' to each side of the equation. 7 + -7 + -6r = -2 + -7 Combine like terms: 7 + -7 = 0 0 + -6r = -2 + -7 -6r = -2 + -7 Combine like terms: -2 + -7 = -9 -6r = -9 Divide each side by '-6'. r = 1.5 Simplifying r = 1.5
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