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Simplifying -8(7 + 5r) = 38 + 7r (7 * -8 + 5r * -8) = 38 + 7r (-56 + -40r) = 38 + 7r Solving -56 + -40r = 38 + 7r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-7r' to each side of the equation. -56 + -40r + -7r = 38 + 7r + -7r Combine like terms: -40r + -7r = -47r -56 + -47r = 38 + 7r + -7r Combine like terms: 7r + -7r = 0 -56 + -47r = 38 + 0 -56 + -47r = 38 Add '56' to each side of the equation. -56 + 56 + -47r = 38 + 56 Combine like terms: -56 + 56 = 0 0 + -47r = 38 + 56 -47r = 38 + 56 Combine like terms: 38 + 56 = 94 -47r = 94 Divide each side by '-47'. r = -2 Simplifying r = -2
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