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Simplifying 2r3 + -3r2 + 2R + -3 = 0 Reorder the terms: -3 + 2R + -3r2 + 2r3 = 0 Solving -3 + 2R + -3r2 + 2r3 = 0 Solving for variable 'R'. Move all terms containing R to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 2R + -3r2 + 3 + 2r3 = 0 + 3 Reorder the terms: -3 + 3 + 2R + -3r2 + 2r3 = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 2R + -3r2 + 2r3 = 0 + 3 2R + -3r2 + 2r3 = 0 + 3 Combine like terms: 0 + 3 = 3 2R + -3r2 + 2r3 = 3 Add '3r2' to each side of the equation. 2R + -3r2 + 3r2 + 2r3 = 3 + 3r2 Combine like terms: -3r2 + 3r2 = 0 2R + 0 + 2r3 = 3 + 3r2 2R + 2r3 = 3 + 3r2 Add '-2r3' to each side of the equation. 2R + 2r3 + -2r3 = 3 + 3r2 + -2r3 Combine like terms: 2r3 + -2r3 = 0 2R + 0 = 3 + 3r2 + -2r3 2R = 3 + 3r2 + -2r3 Divide each side by '2'. R = 1.5 + 1.5r2 + -1r3 Simplifying R = 1.5 + 1.5r2 + -1r3
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