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Simplifying 4n + -7n = -3(-7 + 2n) + -2(n + 3) Combine like terms: 4n + -7n = -3n -3n = -3(-7 + 2n) + -2(n + 3) -3n = (-7 * -3 + 2n * -3) + -2(n + 3) -3n = (21 + -6n) + -2(n + 3) Reorder the terms: -3n = 21 + -6n + -2(3 + n) -3n = 21 + -6n + (3 * -2 + n * -2) -3n = 21 + -6n + (-6 + -2n) Reorder the terms: -3n = 21 + -6 + -6n + -2n Combine like terms: 21 + -6 = 15 -3n = 15 + -6n + -2n Combine like terms: -6n + -2n = -8n -3n = 15 + -8n Solving -3n = 15 + -8n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '8n' to each side of the equation. -3n + 8n = 15 + -8n + 8n Combine like terms: -3n + 8n = 5n 5n = 15 + -8n + 8n Combine like terms: -8n + 8n = 0 5n = 15 + 0 5n = 15 Divide each side by '5'. n = 3 Simplifying n = 3
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