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Simplifying -6(5r + -7) = 19 + -7r Reorder the terms: -6(-7 + 5r) = 19 + -7r (-7 * -6 + 5r * -6) = 19 + -7r (42 + -30r) = 19 + -7r Solving 42 + -30r = 19 + -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. 42 + -30r + 7r = 19 + -7r + 7r Combine like terms: -30r + 7r = -23r 42 + -23r = 19 + -7r + 7r Combine like terms: -7r + 7r = 0 42 + -23r = 19 + 0 42 + -23r = 19 Add '-42' to each side of the equation. 42 + -42 + -23r = 19 + -42 Combine like terms: 42 + -42 = 0 0 + -23r = 19 + -42 -23r = 19 + -42 Combine like terms: 19 + -42 = -23 -23r = -23 Divide each side by '-23'. r = 1 Simplifying r = 1
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