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Simplifying 5r + 7 = 3r + -15 Reorder the terms: 7 + 5r = 3r + -15 Reorder the terms: 7 + 5r = -15 + 3r Solving 7 + 5r = -15 + 3r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-3r' to each side of the equation. 7 + 5r + -3r = -15 + 3r + -3r Combine like terms: 5r + -3r = 2r 7 + 2r = -15 + 3r + -3r Combine like terms: 3r + -3r = 0 7 + 2r = -15 + 0 7 + 2r = -15 Add '-7' to each side of the equation. 7 + -7 + 2r = -15 + -7 Combine like terms: 7 + -7 = 0 0 + 2r = -15 + -7 2r = -15 + -7 Combine like terms: -15 + -7 = -22 2r = -22 Divide each side by '2'. r = -11 Simplifying r = -11
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