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Simplifying 5r + 7 = -13 + 7r Reorder the terms: 7 + 5r = -13 + 7r Solving 7 + 5r = -13 + 7r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-7r' to each side of the equation. 7 + 5r + -7r = -13 + 7r + -7r Combine like terms: 5r + -7r = -2r 7 + -2r = -13 + 7r + -7r Combine like terms: 7r + -7r = 0 7 + -2r = -13 + 0 7 + -2r = -13 Add '-7' to each side of the equation. 7 + -7 + -2r = -13 + -7 Combine like terms: 7 + -7 = 0 0 + -2r = -13 + -7 -2r = -13 + -7 Combine like terms: -13 + -7 = -20 -2r = -20 Divide each side by '-2'. r = 10 Simplifying r = 10
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