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Simplifying 2r + -1(5 + -1r) = 13 + 12r 2r + (5 * -1 + -1r * -1) = 13 + 12r 2r + (-5 + 1r) = 13 + 12r Reorder the terms: -5 + 2r + 1r = 13 + 12r Combine like terms: 2r + 1r = 3r -5 + 3r = 13 + 12r Solving -5 + 3r = 13 + 12r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-12r' to each side of the equation. -5 + 3r + -12r = 13 + 12r + -12r Combine like terms: 3r + -12r = -9r -5 + -9r = 13 + 12r + -12r Combine like terms: 12r + -12r = 0 -5 + -9r = 13 + 0 -5 + -9r = 13 Add '5' to each side of the equation. -5 + 5 + -9r = 13 + 5 Combine like terms: -5 + 5 = 0 0 + -9r = 13 + 5 -9r = 13 + 5 Combine like terms: 13 + 5 = 18 -9r = 18 Divide each side by '-9'. r = -2 Simplifying r = -2
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