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Simplifying -2n + -8(-3n + 4) = 40 + 4n Reorder the terms: -2n + -8(4 + -3n) = 40 + 4n -2n + (4 * -8 + -3n * -8) = 40 + 4n -2n + (-32 + 24n) = 40 + 4n Reorder the terms: -32 + -2n + 24n = 40 + 4n Combine like terms: -2n + 24n = 22n -32 + 22n = 40 + 4n Solving -32 + 22n = 40 + 4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-4n' to each side of the equation. -32 + 22n + -4n = 40 + 4n + -4n Combine like terms: 22n + -4n = 18n -32 + 18n = 40 + 4n + -4n Combine like terms: 4n + -4n = 0 -32 + 18n = 40 + 0 -32 + 18n = 40 Add '32' to each side of the equation. -32 + 32 + 18n = 40 + 32 Combine like terms: -32 + 32 = 0 0 + 18n = 40 + 32 18n = 40 + 32 Combine like terms: 40 + 32 = 72 18n = 72 Divide each side by '18'. n = 4 Simplifying n = 4
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