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Simplifying -6(-2 + 5r) = 35 + -7r (-2 * -6 + 5r * -6) = 35 + -7r (12 + -30r) = 35 + -7r Solving 12 + -30r = 35 + -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. 12 + -30r + 7r = 35 + -7r + 7r Combine like terms: -30r + 7r = -23r 12 + -23r = 35 + -7r + 7r Combine like terms: -7r + 7r = 0 12 + -23r = 35 + 0 12 + -23r = 35 Add '-12' to each side of the equation. 12 + -12 + -23r = 35 + -12 Combine like terms: 12 + -12 = 0 0 + -23r = 35 + -12 -23r = 35 + -12 Combine like terms: 35 + -12 = 23 -23r = 23 Divide each side by '-23'. r = -1 Simplifying r = -1
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