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Simplifying 1 + 3r = 5r + -7 Reorder the terms: 1 + 3r = -7 + 5r Solving 1 + 3r = -7 + 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. 1 + 3r + -5r = -7 + 5r + -5r Combine like terms: 3r + -5r = -2r 1 + -2r = -7 + 5r + -5r Combine like terms: 5r + -5r = 0 1 + -2r = -7 + 0 1 + -2r = -7 Add '-1' to each side of the equation. 1 + -1 + -2r = -7 + -1 Combine like terms: 1 + -1 = 0 0 + -2r = -7 + -1 -2r = -7 + -1 Combine like terms: -7 + -1 = -8 -2r = -8 Divide each side by '-2'. r = 4 Simplifying r = 4
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