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Simplifying -3r + -8 = -5r + -12 Reorder the terms: -8 + -3r = -5r + -12 Reorder the terms: -8 + -3r = -12 + -5r Solving -8 + -3r = -12 + -5r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '5r' to each side of the equation. -8 + -3r + 5r = -12 + -5r + 5r Combine like terms: -3r + 5r = 2r -8 + 2r = -12 + -5r + 5r Combine like terms: -5r + 5r = 0 -8 + 2r = -12 + 0 -8 + 2r = -12 Add '8' to each side of the equation. -8 + 8 + 2r = -12 + 8 Combine like terms: -8 + 8 = 0 0 + 2r = -12 + 8 2r = -12 + 8 Combine like terms: -12 + 8 = -4 2r = -4 Divide each side by '2'. r = -2 Simplifying r = -2
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