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Simplifying 2x + -2(4n + 5) = -6(n + -3) + -8 Reorder the terms: 2x + -2(5 + 4n) = -6(n + -3) + -8 2x + (5 * -2 + 4n * -2) = -6(n + -3) + -8 2x + (-10 + -8n) = -6(n + -3) + -8 Reorder the terms: -10 + -8n + 2x = -6(n + -3) + -8 Reorder the terms: -10 + -8n + 2x = -6(-3 + n) + -8 -10 + -8n + 2x = (-3 * -6 + n * -6) + -8 -10 + -8n + 2x = (18 + -6n) + -8 Reorder the terms: -10 + -8n + 2x = 18 + -8 + -6n Combine like terms: 18 + -8 = 10 -10 + -8n + 2x = 10 + -6n Solving -10 + -8n + 2x = 10 + -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. -10 + -8n + 6n + 2x = 10 + -6n + 6n Combine like terms: -8n + 6n = -2n -10 + -2n + 2x = 10 + -6n + 6n Combine like terms: -6n + 6n = 0 -10 + -2n + 2x = 10 + 0 -10 + -2n + 2x = 10 Add '10' to each side of the equation. -10 + -2n + 10 + 2x = 10 + 10 Reorder the terms: -10 + 10 + -2n + 2x = 10 + 10 Combine like terms: -10 + 10 = 0 0 + -2n + 2x = 10 + 10 -2n + 2x = 10 + 10 Combine like terms: 10 + 10 = 20 -2n + 2x = 20 Add '-2x' to each side of the equation. -2n + 2x + -2x = 20 + -2x Combine like terms: 2x + -2x = 0 -2n + 0 = 20 + -2x -2n = 20 + -2x Divide each side by '-2'. n = -10 + x Simplifying n = -10 + x
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