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Simplifying -30 + 6r = 3n + -3(-8 + -7n) -30 + 6r = 3n + (-8 * -3 + -7n * -3) -30 + 6r = 3n + (24 + 21n) Reorder the terms: -30 + 6r = 24 + 3n + 21n Combine like terms: 3n + 21n = 24n -30 + 6r = 24 + 24n Solving -30 + 6r = 24 + 24n Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '30' to each side of the equation. -30 + 30 + 6r = 24 + 30 + 24n Combine like terms: -30 + 30 = 0 0 + 6r = 24 + 30 + 24n 6r = 24 + 30 + 24n Combine like terms: 24 + 30 = 54 6r = 54 + 24n Divide each side by '6'. r = 9 + 4n Simplifying r = 9 + 4n
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