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Simplifying 3r2 + 5r + -2 = 3r2 + 4r + -12 Reorder the terms: -2 + 5r + 3r2 = 3r2 + 4r + -12 Reorder the terms: -2 + 5r + 3r2 = -12 + 4r + 3r2 Add '-3r2' to each side of the equation. -2 + 5r + 3r2 + -3r2 = -12 + 4r + 3r2 + -3r2 Combine like terms: 3r2 + -3r2 = 0 -2 + 5r + 0 = -12 + 4r + 3r2 + -3r2 -2 + 5r = -12 + 4r + 3r2 + -3r2 Combine like terms: 3r2 + -3r2 = 0 -2 + 5r = -12 + 4r + 0 -2 + 5r = -12 + 4r Solving -2 + 5r = -12 + 4r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-4r' to each side of the equation. -2 + 5r + -4r = -12 + 4r + -4r Combine like terms: 5r + -4r = 1r -2 + 1r = -12 + 4r + -4r Combine like terms: 4r + -4r = 0 -2 + 1r = -12 + 0 -2 + 1r = -12 Add '2' to each side of the equation. -2 + 2 + 1r = -12 + 2 Combine like terms: -2 + 2 = 0 0 + 1r = -12 + 2 1r = -12 + 2 Combine like terms: -12 + 2 = -10 1r = -10 Divide each side by '1'. r = -10 Simplifying r = -10
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