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