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