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Simplifying 2r + -3r + 8 = 3r + -8 Reorder the terms: 8 + 2r + -3r = 3r + -8 Combine like terms: 2r + -3r = -1r 8 + -1r = 3r + -8 Reorder the terms: 8 + -1r = -8 + 3r Solving 8 + -1r = -8 + 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. 8 + -1r + -3r = -8 + 3r + -3r Combine like terms: -1r + -3r = -4r 8 + -4r = -8 + 3r + -3r Combine like terms: 3r + -3r = 0 8 + -4r = -8 + 0 8 + -4r = -8 Add '-8' to each side of the equation. 8 + -8 + -4r = -8 + -8 Combine like terms: 8 + -8 = 0 0 + -4r = -8 + -8 -4r = -8 + -8 Combine like terms: -8 + -8 = -16 -4r = -16 Divide each side by '-4'. r = 4 Simplifying r = 4
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