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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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