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Simplifying -6(3 + -7r) = 270 (3 * -6 + -7r * -6) = 270 (-18 + 42r) = 270 Solving -18 + 42r = 270 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 18 + 42r = 270 + 18 Combine like terms: -18 + 18 = 0 0 + 42r = 270 + 18 42r = 270 + 18 Combine like terms: 270 + 18 = 288 42r = 288 Divide each side by '42'. r = 6.857142857 Simplifying r = 6.857142857
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