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Simplifying 8(3 + -10r) = 8(5r + -10) (3 * 8 + -10r * 8) = 8(5r + -10) (24 + -80r) = 8(5r + -10) Reorder the terms: 24 + -80r = 8(-10 + 5r) 24 + -80r = (-10 * 8 + 5r * 8) 24 + -80r = (-80 + 40r) Solving 24 + -80r = -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 + -80r + -40r = -80 + 40r + -40r Combine like terms: -80r + -40r = -120r 24 + -120r = -80 + 40r + -40r Combine like terms: 40r + -40r = 0 24 + -120r = -80 + 0 24 + -120r = -80 Add '-24' to each side of the equation. 24 + -24 + -120r = -80 + -24 Combine like terms: 24 + -24 = 0 0 + -120r = -80 + -24 -120r = -80 + -24 Combine like terms: -80 + -24 = -104 -120r = -104 Divide each side by '-120'. r = 0.8666666667 Simplifying r = 0.8666666667
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