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