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Simplifying -10r + 3(8 + 8n) = -6(n + -4) -10r + (8 * 3 + 8n * 3) = -6(n + -4) -10r + (24 + 24n) = -6(n + -4) Reorder the terms: 24 + 24n + -10r = -6(n + -4) Reorder the terms: 24 + 24n + -10r = -6(-4 + n) 24 + 24n + -10r = (-4 * -6 + n * -6) 24 + 24n + -10r = (24 + -6n) Add '-24' to each side of the equation. 24 + 24n + -24 + -10r = 24 + -24 + -6n Reorder the terms: 24 + -24 + 24n + -10r = 24 + -24 + -6n Combine like terms: 24 + -24 = 0 0 + 24n + -10r = 24 + -24 + -6n 24n + -10r = 24 + -24 + -6n Combine like terms: 24 + -24 = 0 24n + -10r = 0 + -6n 24n + -10r = -6n Solving 24n + -10r = -6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '6n' to each side of the equation. 24n + 6n + -10r = -6n + 6n Combine like terms: 24n + 6n = 30n 30n + -10r = -6n + 6n Combine like terms: -6n + 6n = 0 30n + -10r = 0 Add '10r' to each side of the equation. 30n + -10r + 10r = 0 + 10r Combine like terms: -10r + 10r = 0 30n + 0 = 0 + 10r 30n = 0 + 10r Remove the zero: 30n = 10r Divide each side by '30'. n = 0.3333333333r Simplifying n = 0.3333333333r
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