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Simplifying 2r + -6 + 5R = 3 + -7 Reorder the terms: -6 + 5R + 2r = 3 + -7 Combine like terms: 3 + -7 = -4 -6 + 5R + 2r = -4 Solving -6 + 5R + 2r = -4 Solving for variable 'R'. Move all terms containing R to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 5R + 6 + 2r = -4 + 6 Reorder the terms: -6 + 6 + 5R + 2r = -4 + 6 Combine like terms: -6 + 6 = 0 0 + 5R + 2r = -4 + 6 5R + 2r = -4 + 6 Combine like terms: -4 + 6 = 2 5R + 2r = 2 Add '-2r' to each side of the equation. 5R + 2r + -2r = 2 + -2r Combine like terms: 2r + -2r = 0 5R + 0 = 2 + -2r 5R = 2 + -2r Divide each side by '5'. R = 0.4 + -0.4r Simplifying R = 0.4 + -0.4r
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