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Simplifying 2r + 4 + -3(-5n + 2) = 0 Reorder the terms: 2r + 4 + -3(2 + -5n) = 0 2r + 4 + (2 * -3 + -5n * -3) = 0 2r + 4 + (-6 + 15n) = 0 Reorder the terms: 4 + -6 + 15n + 2r = 0 Combine like terms: 4 + -6 = -2 -2 + 15n + 2r = 0 Solving -2 + 15n + 2r = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 15n + 2 + 2r = 0 + 2 Reorder the terms: -2 + 2 + 15n + 2r = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 15n + 2r = 0 + 2 15n + 2r = 0 + 2 Combine like terms: 0 + 2 = 2 15n + 2r = 2 Add '-2r' to each side of the equation. 15n + 2r + -2r = 2 + -2r Combine like terms: 2r + -2r = 0 15n + 0 = 2 + -2r 15n = 2 + -2r Divide each side by '15'. n = 0.1333333333 + -0.1333333333r Simplifying n = 0.1333333333 + -0.1333333333r
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