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Simplifying -2r + -1r + -8 = 5r + -12 Reorder the terms: -8 + -2r + -1r = 5r + -12 Combine like terms: -2r + -1r = -3r -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 = -8r -8 + -8r = -12 + 5r + -5r Combine like terms: 5r + -5r = 0 -8 + -8r = -12 + 0 -8 + -8r = -12 Add '8' to each side of the equation. -8 + 8 + -8r = -12 + 8 Combine like terms: -8 + 8 = 0 0 + -8r = -12 + 8 -8r = -12 + 8 Combine like terms: -12 + 8 = -4 -8r = -4 Divide each side by '-8'. r = 0.5 Simplifying r = 0.5
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