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Simplifying 2(5r + -7) = -20 + 8r Reorder the terms: 2(-7 + 5r) = -20 + 8r (-7 * 2 + 5r * 2) = -20 + 8r (-14 + 10r) = -20 + 8r Solving -14 + 10r = -20 + 8r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-8r' to each side of the equation. -14 + 10r + -8r = -20 + 8r + -8r Combine like terms: 10r + -8r = 2r -14 + 2r = -20 + 8r + -8r Combine like terms: 8r + -8r = 0 -14 + 2r = -20 + 0 -14 + 2r = -20 Add '14' to each side of the equation. -14 + 14 + 2r = -20 + 14 Combine like terms: -14 + 14 = 0 0 + 2r = -20 + 14 2r = -20 + 14 Combine like terms: -20 + 14 = -6 2r = -6 Divide each side by '2'. r = -3 Simplifying r = -3
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