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Simplifying -6 + -6r = 3(7n + -3) + -8r Reorder the terms: -6 + -6r = 3(-3 + 7n) + -8r -6 + -6r = (-3 * 3 + 7n * 3) + -8r -6 + -6r = (-9 + 21n) + -8r Solving -6 + -6r = -9 + 21n + -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. -6 + -6r + 8r = -9 + 21n + -8r + 8r Combine like terms: -6r + 8r = 2r -6 + 2r = -9 + 21n + -8r + 8r Combine like terms: -8r + 8r = 0 -6 + 2r = -9 + 21n + 0 -6 + 2r = -9 + 21n Add '6' to each side of the equation. -6 + 6 + 2r = -9 + 6 + 21n Combine like terms: -6 + 6 = 0 0 + 2r = -9 + 6 + 21n 2r = -9 + 6 + 21n Combine like terms: -9 + 6 = -3 2r = -3 + 21n Divide each side by '2'. r = -1.5 + 10.5n Simplifying r = -1.5 + 10.5n
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