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Simplifying 8n + -40 = -8(1 + -3n) Reorder the terms: -40 + 8n = -8(1 + -3n) -40 + 8n = (1 * -8 + -3n * -8) -40 + 8n = (-8 + 24n) Solving -40 + 8n = -8 + 24n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-24n' to each side of the equation. -40 + 8n + -24n = -8 + 24n + -24n Combine like terms: 8n + -24n = -16n -40 + -16n = -8 + 24n + -24n Combine like terms: 24n + -24n = 0 -40 + -16n = -8 + 0 -40 + -16n = -8 Add '40' to each side of the equation. -40 + 40 + -16n = -8 + 40 Combine like terms: -40 + 40 = 0 0 + -16n = -8 + 40 -16n = -8 + 40 Combine like terms: -8 + 40 = 32 -16n = 32 Divide each side by '-16'. n = -2 Simplifying n = -2
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