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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 = 21n -40 + 5n = -24 + 21n Solving -40 + 5n = -24 + 21n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-21n' to each side of the equation. -40 + 5n + -21n = -24 + 21n + -21n Combine like terms: 5n + -21n = -16n -40 + -16n = -24 + 21n + -21n Combine like terms: 21n + -21n = 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 = 16 -16n = 16 Divide each side by '-16'. n = -1 Simplifying n = -1
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