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Simplifying -40 + 5n = 8(-2n + 3) + 5n Reorder the terms: -40 + 5n = 8(3 + -2n) + 5n -40 + 5n = (3 * 8 + -2n * 8) + 5n -40 + 5n = (24 + -16n) + 5n Combine like terms: -16n + 5n = -11n -40 + 5n = 24 + -11n Solving -40 + 5n = 24 + -11n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '11n' to each side of the equation. -40 + 5n + 11n = 24 + -11n + 11n Combine like terms: 5n + 11n = 16n -40 + 16n = 24 + -11n + 11n Combine like terms: -11n + 11n = 0 -40 + 16n = 24 + 0 -40 + 16n = 24 Add '40' to each side of the equation. -40 + 40 + 16n = 24 + 40 Combine like terms: -40 + 40 = 0 0 + 16n = 24 + 40 16n = 24 + 40 Combine like terms: 24 + 40 = 64 16n = 64 Divide each side by '16'. n = 4 Simplifying n = 4
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