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Simplifying -2(r + 5) = -8r + 38 Reorder the terms: -2(5 + r) = -8r + 38 (5 * -2 + r * -2) = -8r + 38 (-10 + -2r) = -8r + 38 Reorder the terms: -10 + -2r = 38 + -8r Solving -10 + -2r = 38 + -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. -10 + -2r + 8r = 38 + -8r + 8r Combine like terms: -2r + 8r = 6r -10 + 6r = 38 + -8r + 8r Combine like terms: -8r + 8r = 0 -10 + 6r = 38 + 0 -10 + 6r = 38 Add '10' to each side of the equation. -10 + 10 + 6r = 38 + 10 Combine like terms: -10 + 10 = 0 0 + 6r = 38 + 10 6r = 38 + 10 Combine like terms: 38 + 10 = 48 6r = 48 Divide each side by '6'. r = 8 Simplifying r = 8
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