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Simplifying -12(r + -2) = 8(-10 + 5r) Reorder the terms: -12(-2 + r) = 8(-10 + 5r) (-2 * -12 + r * -12) = 8(-10 + 5r) (24 + -12r) = 8(-10 + 5r) 24 + -12r = (-10 * 8 + 5r * 8) 24 + -12r = (-80 + 40r) Solving 24 + -12r = -80 + 40r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-40r' to each side of the equation. 24 + -12r + -40r = -80 + 40r + -40r Combine like terms: -12r + -40r = -52r 24 + -52r = -80 + 40r + -40r Combine like terms: 40r + -40r = 0 24 + -52r = -80 + 0 24 + -52r = -80 Add '-24' to each side of the equation. 24 + -24 + -52r = -80 + -24 Combine like terms: 24 + -24 = 0 0 + -52r = -80 + -24 -52r = -80 + -24 Combine like terms: -80 + -24 = -104 -52r = -104 Divide each side by '-52'. r = 2 Simplifying r = 2
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