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Simplifying 2r + -6 + 5r = 3 + -1r + 17 Reorder the terms: -6 + 2r + 5r = 3 + -1r + 17 Combine like terms: 2r + 5r = 7r -6 + 7r = 3 + -1r + 17 Reorder the terms: -6 + 7r = 3 + 17 + -1r Combine like terms: 3 + 17 = 20 -6 + 7r = 20 + -1r Solving -6 + 7r = 20 + -1r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add 'r' to each side of the equation. -6 + 7r + r = 20 + -1r + r Combine like terms: 7r + r = 8r -6 + 8r = 20 + -1r + r Combine like terms: -1r + r = 0 -6 + 8r = 20 + 0 -6 + 8r = 20 Add '6' to each side of the equation. -6 + 6 + 8r = 20 + 6 Combine like terms: -6 + 6 = 0 0 + 8r = 20 + 6 8r = 20 + 6 Combine like terms: 20 + 6 = 26 8r = 26 Divide each side by '8'. r = 3.25 Simplifying r = 3.25
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