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Simplifying -3r + 8 = 7 + -2r + 6 Reorder the terms: 8 + -3r = 7 + -2r + 6 Reorder the terms: 8 + -3r = 7 + 6 + -2r Combine like terms: 7 + 6 = 13 8 + -3r = 13 + -2r Solving 8 + -3r = 13 + -2r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '2r' to each side of the equation. 8 + -3r + 2r = 13 + -2r + 2r Combine like terms: -3r + 2r = -1r 8 + -1r = 13 + -2r + 2r Combine like terms: -2r + 2r = 0 8 + -1r = 13 + 0 8 + -1r = 13 Add '-8' to each side of the equation. 8 + -8 + -1r = 13 + -8 Combine like terms: 8 + -8 = 0 0 + -1r = 13 + -8 -1r = 13 + -8 Combine like terms: 13 + -8 = 5 -1r = 5 Divide each side by '-1'. r = -5 Simplifying r = -5
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