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Simplifying -5r + -39 = -3(5n + -3) + 8 Reorder the terms: -39 + -5r = -3(5n + -3) + 8 Reorder the terms: -39 + -5r = -3(-3 + 5n) + 8 -39 + -5r = (-3 * -3 + 5n * -3) + 8 -39 + -5r = (9 + -15n) + 8 Reorder the terms: -39 + -5r = 9 + 8 + -15n Combine like terms: 9 + 8 = 17 -39 + -5r = 17 + -15n Solving -39 + -5r = 17 + -15n Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '39' to each side of the equation. -39 + 39 + -5r = 17 + 39 + -15n Combine like terms: -39 + 39 = 0 0 + -5r = 17 + 39 + -15n -5r = 17 + 39 + -15n Combine like terms: 17 + 39 = 56 -5r = 56 + -15n Divide each side by '-5'. r = -11.2 + 3n Simplifying r = -11.2 + 3n
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