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Simplifying -1(7 + 7r) = -9 + -6r (7 * -1 + 7r * -1) = -9 + -6r (-7 + -7r) = -9 + -6r Solving -7 + -7r = -9 + -6r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '6r' to each side of the equation. -7 + -7r + 6r = -9 + -6r + 6r Combine like terms: -7r + 6r = -1r -7 + -1r = -9 + -6r + 6r Combine like terms: -6r + 6r = 0 -7 + -1r = -9 + 0 -7 + -1r = -9 Add '7' to each side of the equation. -7 + 7 + -1r = -9 + 7 Combine like terms: -7 + 7 = 0 0 + -1r = -9 + 7 -1r = -9 + 7 Combine like terms: -9 + 7 = -2 -1r = -2 Divide each side by '-1'. r = 2 Simplifying r = 2
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