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Simplifying -5(7 + 2r) = 20 + r (7 * -5 + 2r * -5) = 20 + r (-35 + -10r) = 20 + r Solving -35 + -10r = 20 + r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-1r' to each side of the equation. -35 + -10r + -1r = 20 + r + -1r Combine like terms: -10r + -1r = -11r -35 + -11r = 20 + r + -1r Combine like terms: r + -1r = 0 -35 + -11r = 20 + 0 -35 + -11r = 20 Add '35' to each side of the equation. -35 + 35 + -11r = 20 + 35 Combine like terms: -35 + 35 = 0 0 + -11r = 20 + 35 -11r = 20 + 35 Combine like terms: 20 + 35 = 55 -11r = 55 Divide each side by '-11'. r = -5 Simplifying r = -5
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