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Simplifying -15 + -1r + 8r = 3r + 5 Combine like terms: -1r + 8r = 7r -15 + 7r = 3r + 5 Reorder the terms: -15 + 7r = 5 + 3r Solving -15 + 7r = 5 + 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. -15 + 7r + -3r = 5 + 3r + -3r Combine like terms: 7r + -3r = 4r -15 + 4r = 5 + 3r + -3r Combine like terms: 3r + -3r = 0 -15 + 4r = 5 + 0 -15 + 4r = 5 Add '15' to each side of the equation. -15 + 15 + 4r = 5 + 15 Combine like terms: -15 + 15 = 0 0 + 4r = 5 + 15 4r = 5 + 15 Combine like terms: 5 + 15 = 20 4r = 20 Divide each side by '4'. r = 5 Simplifying r = 5
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