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Simplifying 2n + -2(4n + 5) = -6(n + -3) * 8 Reorder the terms: 2n + -2(5 + 4n) = -6(n + -3) * 8 2n + (5 * -2 + 4n * -2) = -6(n + -3) * 8 2n + (-10 + -8n) = -6(n + -3) * 8 Reorder the terms: -10 + 2n + -8n = -6(n + -3) * 8 Combine like terms: 2n + -8n = -6n -10 + -6n = -6(n + -3) * 8 Reorder the terms: -10 + -6n = -6(-3 + n) * 8 Reorder the terms for easier multiplication: -10 + -6n = -6 * 8(-3 + n) Multiply -6 * 8 -10 + -6n = -48(-3 + n) -10 + -6n = (-3 * -48 + n * -48) -10 + -6n = (144 + -48n) Solving -10 + -6n = 144 + -48n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '48n' to each side of the equation. -10 + -6n + 48n = 144 + -48n + 48n Combine like terms: -6n + 48n = 42n -10 + 42n = 144 + -48n + 48n Combine like terms: -48n + 48n = 0 -10 + 42n = 144 + 0 -10 + 42n = 144 Add '10' to each side of the equation. -10 + 10 + 42n = 144 + 10 Combine like terms: -10 + 10 = 0 0 + 42n = 144 + 10 42n = 144 + 10 Combine like terms: 144 + 10 = 154 42n = 154 Divide each side by '42'. n = 3.666666667 Simplifying n = 3.666666667
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