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Simplifying 40 + -8n = 8(n + 7) Reorder the terms: 40 + -8n = 8(7 + n) 40 + -8n = (7 * 8 + n * 8) 40 + -8n = (56 + 8n) Solving 40 + -8n = 56 + 8n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-8n' to each side of the equation. 40 + -8n + -8n = 56 + 8n + -8n Combine like terms: -8n + -8n = -16n 40 + -16n = 56 + 8n + -8n Combine like terms: 8n + -8n = 0 40 + -16n = 56 + 0 40 + -16n = 56 Add '-40' to each side of the equation. 40 + -40 + -16n = 56 + -40 Combine like terms: 40 + -40 = 0 0 + -16n = 56 + -40 -16n = 56 + -40 Combine like terms: 56 + -40 = 16 -16n = 16 Divide each side by '-16'. n = -1 Simplifying n = -1
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