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Simplifying 2r + -1(5 + -1r) = 13r + 2r 2r + (5 * -1 + -1r * -1) = 13r + 2r 2r + (-5 + 1r) = 13r + 2r Reorder the terms: -5 + 2r + 1r = 13r + 2r Combine like terms: 2r + 1r = 3r -5 + 3r = 13r + 2r Combine like terms: 13r + 2r = 15r -5 + 3r = 15r Solving -5 + 3r = 15r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-15r' to each side of the equation. -5 + 3r + -15r = 15r + -15r Combine like terms: 3r + -15r = -12r -5 + -12r = 15r + -15r Combine like terms: 15r + -15r = 0 -5 + -12r = 0 Add '5' to each side of the equation. -5 + 5 + -12r = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -12r = 0 + 5 -12r = 0 + 5 Combine like terms: 0 + 5 = 5 -12r = 5 Divide each side by '-12'. r = -0.4166666667 Simplifying r = -0.4166666667
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