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Simplifying -5(1 + 5r) = -37 + 7r (1 * -5 + 5r * -5) = -37 + 7r (-5 + -25r) = -37 + 7r Solving -5 + -25r = -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 + -25r + -7r = -37 + 7r + -7r Combine like terms: -25r + -7r = -32r -5 + -32r = -37 + 7r + -7r Combine like terms: 7r + -7r = 0 -5 + -32r = -37 + 0 -5 + -32r = -37 Add '5' to each side of the equation. -5 + 5 + -32r = -37 + 5 Combine like terms: -5 + 5 = 0 0 + -32r = -37 + 5 -32r = -37 + 5 Combine like terms: -37 + 5 = -32 -32r = -32 Divide each side by '-32'. r = 1 Simplifying r = 1
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