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Simplifying 4(n + 7) + -8n = 40 + -2n Reorder the terms: 4(7 + n) + -8n = 40 + -2n (7 * 4 + n * 4) + -8n = 40 + -2n (28 + 4n) + -8n = 40 + -2n Combine like terms: 4n + -8n = -4n 28 + -4n = 40 + -2n Solving 28 + -4n = 40 + -2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '2n' to each side of the equation. 28 + -4n + 2n = 40 + -2n + 2n Combine like terms: -4n + 2n = -2n 28 + -2n = 40 + -2n + 2n Combine like terms: -2n + 2n = 0 28 + -2n = 40 + 0 28 + -2n = 40 Add '-28' to each side of the equation. 28 + -28 + -2n = 40 + -28 Combine like terms: 28 + -28 = 0 0 + -2n = 40 + -28 -2n = 40 + -28 Combine like terms: 40 + -28 = 12 -2n = 12 Divide each side by '-2'. n = -6 Simplifying n = -6
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