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Simplifying (5 + -1R) + -1(6 + -1r) = 13 Remove parenthesis around (5 + -1R) 5 + -1R + -1(6 + -1r) = 13 5 + -1R + (6 * -1 + -1r * -1) = 13 5 + -1R + (-6 + 1r) = 13 Reorder the terms: 5 + -6 + -1R + 1r = 13 Combine like terms: 5 + -6 = -1 -1 + -1R + 1r = 13 Solving -1 + -1R + 1r = 13 Solving for variable 'R'. Move all terms containing R to the left, all other terms to the right. Add '1' to each side of the equation. -1 + -1R + 1 + 1r = 13 + 1 Reorder the terms: -1 + 1 + -1R + 1r = 13 + 1 Combine like terms: -1 + 1 = 0 0 + -1R + 1r = 13 + 1 -1R + 1r = 13 + 1 Combine like terms: 13 + 1 = 14 -1R + 1r = 14 Add '-1r' to each side of the equation. -1R + 1r + -1r = 14 + -1r Combine like terms: 1r + -1r = 0 -1R + 0 = 14 + -1r -1R = 14 + -1r Divide each side by '-1'. R = -14 + r Simplifying R = -14 + r
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