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Simplifying 4(n + 7) = -2(n + 1) + 8n Reorder the terms: 4(7 + n) = -2(n + 1) + 8n (7 * 4 + n * 4) = -2(n + 1) + 8n (28 + 4n) = -2(n + 1) + 8n Reorder the terms: 28 + 4n = -2(1 + n) + 8n 28 + 4n = (1 * -2 + n * -2) + 8n 28 + 4n = (-2 + -2n) + 8n Combine like terms: -2n + 8n = 6n 28 + 4n = -2 + 6n Solving 28 + 4n = -2 + 6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-6n' to each side of the equation. 28 + 4n + -6n = -2 + 6n + -6n Combine like terms: 4n + -6n = -2n 28 + -2n = -2 + 6n + -6n Combine like terms: 6n + -6n = 0 28 + -2n = -2 + 0 28 + -2n = -2 Add '-28' to each side of the equation. 28 + -28 + -2n = -2 + -28 Combine like terms: 28 + -28 = 0 0 + -2n = -2 + -28 -2n = -2 + -28 Combine like terms: -2 + -28 = -30 -2n = -30 Divide each side by '-2'. n = 15 Simplifying n = 15
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