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Simplifying -5r + 15 = -7r + 7 Reorder the terms: 15 + -5r = -7r + 7 Reorder the terms: 15 + -5r = 7 + -7r Solving 15 + -5r = 7 + -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. 15 + -5r + 7r = 7 + -7r + 7r Combine like terms: -5r + 7r = 2r 15 + 2r = 7 + -7r + 7r Combine like terms: -7r + 7r = 0 15 + 2r = 7 + 0 15 + 2r = 7 Add '-15' to each side of the equation. 15 + -15 + 2r = 7 + -15 Combine like terms: 15 + -15 = 0 0 + 2r = 7 + -15 2r = 7 + -15 Combine like terms: 7 + -15 = -8 2r = -8 Divide each side by '2'. r = -4 Simplifying r = -4
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