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Simplifying -40 + 8n = 8(1 + 4n) -40 + 8n = (1 * 8 + 4n * 8) -40 + 8n = (8 + 32n) Solving -40 + 8n = 8 + 32n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-32n' to each side of the equation. -40 + 8n + -32n = 8 + 32n + -32n Combine like terms: 8n + -32n = -24n -40 + -24n = 8 + 32n + -32n Combine like terms: 32n + -32n = 0 -40 + -24n = 8 + 0 -40 + -24n = 8 Add '40' to each side of the equation. -40 + 40 + -24n = 8 + 40 Combine like terms: -40 + 40 = 0 0 + -24n = 8 + 40 -24n = 8 + 40 Combine like terms: 8 + 40 = 48 -24n = 48 Divide each side by '-24'. n = -2 Simplifying n = -2
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