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Simplifying 8n + -7(n + -4) = 6(n + 3) Reorder the terms: 8n + -7(-4 + n) = 6(n + 3) 8n + (-4 * -7 + n * -7) = 6(n + 3) 8n + (28 + -7n) = 6(n + 3) Reorder the terms: 28 + 8n + -7n = 6(n + 3) Combine like terms: 8n + -7n = 1n 28 + 1n = 6(n + 3) Reorder the terms: 28 + 1n = 6(3 + n) 28 + 1n = (3 * 6 + n * 6) 28 + 1n = (18 + 6n) Solving 28 + 1n = 18 + 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 + 1n + -6n = 18 + 6n + -6n Combine like terms: 1n + -6n = -5n 28 + -5n = 18 + 6n + -6n Combine like terms: 6n + -6n = 0 28 + -5n = 18 + 0 28 + -5n = 18 Add '-28' to each side of the equation. 28 + -28 + -5n = 18 + -28 Combine like terms: 28 + -28 = 0 0 + -5n = 18 + -28 -5n = 18 + -28 Combine like terms: 18 + -28 = -10 -5n = -10 Divide each side by '-5'. n = 2 Simplifying n = 2
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