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Simplifying -3(r + -8) + -8r = 19 + -6r Reorder the terms: -3(-8 + r) + -8r = 19 + -6r (-8 * -3 + r * -3) + -8r = 19 + -6r (24 + -3r) + -8r = 19 + -6r Combine like terms: -3r + -8r = -11r 24 + -11r = 19 + -6r Solving 24 + -11r = 19 + -6r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '6r' to each side of the equation. 24 + -11r + 6r = 19 + -6r + 6r Combine like terms: -11r + 6r = -5r 24 + -5r = 19 + -6r + 6r Combine like terms: -6r + 6r = 0 24 + -5r = 19 + 0 24 + -5r = 19 Add '-24' to each side of the equation. 24 + -24 + -5r = 19 + -24 Combine like terms: 24 + -24 = 0 0 + -5r = 19 + -24 -5r = 19 + -24 Combine like terms: 19 + -24 = -5 -5r = -5 Divide each side by '-5'. r = 1 Simplifying r = 1
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