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Simplifying -2(1 + 3r) = -9 + -7r (1 * -2 + 3r * -2) = -9 + -7r (-2 + -6r) = -9 + -7r Solving -2 + -6r = -9 + -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. -2 + -6r + 7r = -9 + -7r + 7r Combine like terms: -6r + 7r = 1r -2 + 1r = -9 + -7r + 7r Combine like terms: -7r + 7r = 0 -2 + 1r = -9 + 0 -2 + 1r = -9 Add '2' to each side of the equation. -2 + 2 + 1r = -9 + 2 Combine like terms: -2 + 2 = 0 0 + 1r = -9 + 2 1r = -9 + 2 Combine like terms: -9 + 2 = -7 1r = -7 Divide each side by '1'. r = -7 Simplifying r = -7
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