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Simplifying 8R + -3 + -1(7R + 1) = -6 + 2R Reorder the terms: 8R + -3 + -1(1 + 7R) = -6 + 2R 8R + -3 + (1 * -1 + 7R * -1) = -6 + 2R 8R + -3 + (-1 + -7R) = -6 + 2R Reorder the terms: -3 + -1 + 8R + -7R = -6 + 2R Combine like terms: -3 + -1 = -4 -4 + 8R + -7R = -6 + 2R Combine like terms: 8R + -7R = 1R -4 + 1R = -6 + 2R Solving -4 + 1R = -6 + 2R Solving for variable 'R'. Move all terms containing R to the left, all other terms to the right. Add '-2R' to each side of the equation. -4 + 1R + -2R = -6 + 2R + -2R Combine like terms: 1R + -2R = -1R -4 + -1R = -6 + 2R + -2R Combine like terms: 2R + -2R = 0 -4 + -1R = -6 + 0 -4 + -1R = -6 Add '4' to each side of the equation. -4 + 4 + -1R = -6 + 4 Combine like terms: -4 + 4 = 0 0 + -1R = -6 + 4 -1R = -6 + 4 Combine like terms: -6 + 4 = -2 -1R = -2 Divide each side by '-1'. R = 2 Simplifying R = 2
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