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Simplifying 3(8 + -4r) = 10 + -5r (8 * 3 + -4r * 3) = 10 + -5r (24 + -12r) = 10 + -5r Solving 24 + -12r = 10 + -5r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '5r' to each side of the equation. 24 + -12r + 5r = 10 + -5r + 5r Combine like terms: -12r + 5r = -7r 24 + -7r = 10 + -5r + 5r Combine like terms: -5r + 5r = 0 24 + -7r = 10 + 0 24 + -7r = 10 Add '-24' to each side of the equation. 24 + -24 + -7r = 10 + -24 Combine like terms: 24 + -24 = 0 0 + -7r = 10 + -24 -7r = 10 + -24 Combine like terms: 10 + -24 = -14 -7r = -14 Divide each side by '-7'. r = 2 Simplifying r = 2
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