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Simplifying -5(1 + -7r) = 37 + -7r (1 * -5 + -7r * -5) = 37 + -7r (-5 + 35r) = 37 + -7r Solving -5 + 35r = 37 + -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. -5 + 35r + 7r = 37 + -7r + 7r Combine like terms: 35r + 7r = 42r -5 + 42r = 37 + -7r + 7r Combine like terms: -7r + 7r = 0 -5 + 42r = 37 + 0 -5 + 42r = 37 Add '5' to each side of the equation. -5 + 5 + 42r = 37 + 5 Combine like terms: -5 + 5 = 0 0 + 42r = 37 + 5 42r = 37 + 5 Combine like terms: 37 + 5 = 42 42r = 42 Divide each side by '42'. r = 1 Simplifying r = 1
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