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Simplifying -5(7 + -5r) = 19 + -2r (7 * -5 + -5r * -5) = 19 + -2r (-35 + 25r) = 19 + -2r Solving -35 + 25r = 19 + -2r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '2r' to each side of the equation. -35 + 25r + 2r = 19 + -2r + 2r Combine like terms: 25r + 2r = 27r -35 + 27r = 19 + -2r + 2r Combine like terms: -2r + 2r = 0 -35 + 27r = 19 + 0 -35 + 27r = 19 Add '35' to each side of the equation. -35 + 35 + 27r = 19 + 35 Combine like terms: -35 + 35 = 0 0 + 27r = 19 + 35 27r = 19 + 35 Combine like terms: 19 + 35 = 54 27r = 54 Divide each side by '27'. r = 2 Simplifying r = 2
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