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Simplifying -3r + 6 = 4 + -2r + 8 Reorder the terms: 6 + -3r = 4 + -2r + 8 Reorder the terms: 6 + -3r = 4 + 8 + -2r Combine like terms: 4 + 8 = 12 6 + -3r = 12 + -2r Solving 6 + -3r = 12 + -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. 6 + -3r + 2r = 12 + -2r + 2r Combine like terms: -3r + 2r = -1r 6 + -1r = 12 + -2r + 2r Combine like terms: -2r + 2r = 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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