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Simplifying -3(r + 6) = 38 + 5r Reorder the terms: -3(6 + r) = 38 + 5r (6 * -3 + r * -3) = 38 + 5r (-18 + -3r) = 38 + 5r Solving -18 + -3r = 38 + 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. -18 + -3r + -5r = 38 + 5r + -5r Combine like terms: -3r + -5r = -8r -18 + -8r = 38 + 5r + -5r Combine like terms: 5r + -5r = 0 -18 + -8r = 38 + 0 -18 + -8r = 38 Add '18' to each side of the equation. -18 + 18 + -8r = 38 + 18 Combine like terms: -18 + 18 = 0 0 + -8r = 38 + 18 -8r = 38 + 18 Combine like terms: 38 + 18 = 56 -8r = 56 Divide each side by '-8'. r = -7 Simplifying r = -7
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