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Simplifying 2 = -1(-4 + 5n) + 2(4n + -7) 2 = (-4 * -1 + 5n * -1) + 2(4n + -7) 2 = (4 + -5n) + 2(4n + -7) Reorder the terms: 2 = 4 + -5n + 2(-7 + 4n) 2 = 4 + -5n + (-7 * 2 + 4n * 2) 2 = 4 + -5n + (-14 + 8n) Reorder the terms: 2 = 4 + -14 + -5n + 8n Combine like terms: 4 + -14 = -10 2 = -10 + -5n + 8n Combine like terms: -5n + 8n = 3n 2 = -10 + 3n Solving 2 = -10 + 3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-3n' to each side of the equation. 2 + -3n = -10 + 3n + -3n Combine like terms: 3n + -3n = 0 2 + -3n = -10 + 0 2 + -3n = -10 Add '-2' to each side of the equation. 2 + -2 + -3n = -10 + -2 Combine like terms: 2 + -2 = 0 0 + -3n = -10 + -2 -3n = -10 + -2 Combine like terms: -10 + -2 = -12 -3n = -12 Divide each side by '-3'. n = 4 Simplifying n = 4
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