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Simplifying -5(1 + -5r) = 5(-11 + 7r) (1 * -5 + -5r * -5) = 5(-11 + 7r) (-5 + 25r) = 5(-11 + 7r) -5 + 25r = (-11 * 5 + 7r * 5) -5 + 25r = (-55 + 35r) Solving -5 + 25r = -55 + 35r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-35r' to each side of the equation. -5 + 25r + -35r = -55 + 35r + -35r Combine like terms: 25r + -35r = -10r -5 + -10r = -55 + 35r + -35r Combine like terms: 35r + -35r = 0 -5 + -10r = -55 + 0 -5 + -10r = -55 Add '5' to each side of the equation. -5 + 5 + -10r = -55 + 5 Combine like terms: -5 + 5 = 0 0 + -10r = -55 + 5 -10r = -55 + 5 Combine like terms: -55 + 5 = -50 -10r = -50 Divide each side by '-10'. r = 5 Simplifying r = 5
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