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Simplifying 8 + 2r + -2 = 12 + 3r Reorder the terms: 8 + -2 + 2r = 12 + 3r Combine like terms: 8 + -2 = 6 6 + 2r = 12 + 3r Solving 6 + 2r = 12 + 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. 6 + 2r + -3r = 12 + 3r + -3r Combine like terms: 2r + -3r = -1r 6 + -1r = 12 + 3r + -3r Combine like terms: 3r + -3r = 0 6 + -1r = 12 + 0 6 + -1r = 12 Add '-6' to each side of the equation. 6 + -6 + -1r = 12 + -6 Combine like terms: 6 + -6 = 0 0 + -1r = 12 + -6 -1r = 12 + -6 Combine like terms: 12 + -6 = 6 -1r = 6 Divide each side by '-1'. r = -6 Simplifying r = -6
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