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Simplifying 7r + 8 = -10 + r + -2 + 2r Reorder the terms: 8 + 7r = -10 + r + -2 + 2r Reorder the terms: 8 + 7r = -10 + -2 + r + 2r Combine like terms: -10 + -2 = -12 8 + 7r = -12 + r + 2r Combine like terms: r + 2r = 3r 8 + 7r = -12 + 3r Solving 8 + 7r = -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. 8 + 7r + -3r = -12 + 3r + -3r Combine like terms: 7r + -3r = 4r 8 + 4r = -12 + 3r + -3r Combine like terms: 3r + -3r = 0 8 + 4r = -12 + 0 8 + 4r = -12 Add '-8' to each side of the equation. 8 + -8 + 4r = -12 + -8 Combine like terms: 8 + -8 = 0 0 + 4r = -12 + -8 4r = -12 + -8 Combine like terms: -12 + -8 = -20 4r = -20 Divide each side by '4'. r = -5 Simplifying r = -5
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