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