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Simplifying 19 + -1r = -1(5 + -8r) + 3r 19 + -1r = (5 * -1 + -8r * -1) + 3r 19 + -1r = (-5 + 8r) + 3r Combine like terms: 8r + 3r = 11r 19 + -1r = -5 + 11r Solving 19 + -1r = -5 + 11r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-11r' to each side of the equation. 19 + -1r + -11r = -5 + 11r + -11r Combine like terms: -1r + -11r = -12r 19 + -12r = -5 + 11r + -11r Combine like terms: 11r + -11r = 0 19 + -12r = -5 + 0 19 + -12r = -5 Add '-19' to each side of the equation. 19 + -19 + -12r = -5 + -19 Combine like terms: 19 + -19 = 0 0 + -12r = -5 + -19 -12r = -5 + -19 Combine like terms: -5 + -19 = -24 -12r = -24 Divide each side by '-12'. r = 2 Simplifying r = 2
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