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Simplifying 2r3 + 7r2 + 5R = 0 Reorder the terms: 5R + 7r2 + 2r3 = 0 Solving 5R + 7r2 + 2r3 = 0 Solving for variable 'R'. Move all terms containing R to the left, all other terms to the right. Add '-7r2' to each side of the equation. 5R + 7r2 + -7r2 + 2r3 = 0 + -7r2 Combine like terms: 7r2 + -7r2 = 0 5R + 0 + 2r3 = 0 + -7r2 5R + 2r3 = 0 + -7r2 Remove the zero: 5R + 2r3 = -7r2 Add '-2r3' to each side of the equation. 5R + 2r3 + -2r3 = -7r2 + -2r3 Combine like terms: 2r3 + -2r3 = 0 5R + 0 = -7r2 + -2r3 5R = -7r2 + -2r3 Divide each side by '5'. R = -1.4r2 + -0.4r3 Simplifying R = -1.4r2 + -0.4r3
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