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Simplifying -7(5r + -5) = -19 + -8r Reorder the terms: -7(-5 + 5r) = -19 + -8r (-5 * -7 + 5r * -7) = -19 + -8r (35 + -35r) = -19 + -8r Solving 35 + -35r = -19 + -8r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '8r' to each side of the equation. 35 + -35r + 8r = -19 + -8r + 8r Combine like terms: -35r + 8r = -27r 35 + -27r = -19 + -8r + 8r Combine like terms: -8r + 8r = 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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