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Simplifying r + -5(2r + 2) = -82 Reorder the terms: r + -5(2 + 2r) = -82 r + (2 * -5 + 2r * -5) = -82 r + (-10 + -10r) = -82 Reorder the terms: -10 + r + -10r = -82 Combine like terms: r + -10r = -9r -10 + -9r = -82 Solving -10 + -9r = -82 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + -9r = -82 + 10 Combine like terms: -10 + 10 = 0 0 + -9r = -82 + 10 -9r = -82 + 10 Combine like terms: -82 + 10 = -72 -9r = -72 Divide each side by '-9'. r = 8 Simplifying r = 8
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