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Simplifying 2(6n + 4) + -2(8n + 7) = -5 + -5n + 8 Reorder the terms: 2(4 + 6n) + -2(8n + 7) = -5 + -5n + 8 (4 * 2 + 6n * 2) + -2(8n + 7) = -5 + -5n + 8 (8 + 12n) + -2(8n + 7) = -5 + -5n + 8 Reorder the terms: 8 + 12n + -2(7 + 8n) = -5 + -5n + 8 8 + 12n + (7 * -2 + 8n * -2) = -5 + -5n + 8 8 + 12n + (-14 + -16n) = -5 + -5n + 8 Reorder the terms: 8 + -14 + 12n + -16n = -5 + -5n + 8 Combine like terms: 8 + -14 = -6 -6 + 12n + -16n = -5 + -5n + 8 Combine like terms: 12n + -16n = -4n -6 + -4n = -5 + -5n + 8 Reorder the terms: -6 + -4n = -5 + 8 + -5n Combine like terms: -5 + 8 = 3 -6 + -4n = 3 + -5n Solving -6 + -4n = 3 + -5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '5n' to each side of the equation. -6 + -4n + 5n = 3 + -5n + 5n Combine like terms: -4n + 5n = 1n -6 + 1n = 3 + -5n + 5n Combine like terms: -5n + 5n = 0 -6 + 1n = 3 + 0 -6 + 1n = 3 Add '6' to each side of the equation. -6 + 6 + 1n = 3 + 6 Combine like terms: -6 + 6 = 0 0 + 1n = 3 + 6 1n = 3 + 6 Combine like terms: 3 + 6 = 9 1n = 9 Divide each side by '1'. n = 9 Simplifying n = 9
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