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Simplifying 7(-2r + -7) = -5r + -31 Reorder the terms: 7(-7 + -2r) = -5r + -31 (-7 * 7 + -2r * 7) = -5r + -31 (-49 + -14r) = -5r + -31 Reorder the terms: -49 + -14r = -31 + -5r Solving -49 + -14r = -31 + -5r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '5r' to each side of the equation. -49 + -14r + 5r = -31 + -5r + 5r Combine like terms: -14r + 5r = -9r -49 + -9r = -31 + -5r + 5r Combine like terms: -5r + 5r = 0 -49 + -9r = -31 + 0 -49 + -9r = -31 Add '49' to each side of the equation. -49 + 49 + -9r = -31 + 49 Combine like terms: -49 + 49 = 0 0 + -9r = -31 + 49 -9r = -31 + 49 Combine like terms: -31 + 49 = 18 -9r = 18 Divide each side by '-9'. r = -2 Simplifying r = -2
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