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Simplifying 3R + 5S + -7(7R + -8S) = 0 3R + 5S + (7R * -7 + -8S * -7) = 0 3R + 5S + (-49R + 56S) = 0 Reorder the terms: 3R + -49R + 5S + 56S = 0 Combine like terms: 3R + -49R = -46R -46R + 5S + 56S = 0 Combine like terms: 5S + 56S = 61S -46R + 61S = 0 Solving -46R + 61S = 0 Solving for variable 'R'. Move all terms containing R to the left, all other terms to the right. Add '-61S' to each side of the equation. -46R + 61S + -61S = 0 + -61S Combine like terms: 61S + -61S = 0 -46R + 0 = 0 + -61S -46R = 0 + -61S Remove the zero: -46R = -61S Divide each side by '-46'. R = 1.326086957S Simplifying R = 1.326086957S
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