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Simplifying 3n + -7n = 3(5n + -7) + -3(8n + 3) Combine like terms: 3n + -7n = -4n -4n = 3(5n + -7) + -3(8n + 3) Reorder the terms: -4n = 3(-7 + 5n) + -3(8n + 3) -4n = (-7 * 3 + 5n * 3) + -3(8n + 3) -4n = (-21 + 15n) + -3(8n + 3) Reorder the terms: -4n = -21 + 15n + -3(3 + 8n) -4n = -21 + 15n + (3 * -3 + 8n * -3) -4n = -21 + 15n + (-9 + -24n) Reorder the terms: -4n = -21 + -9 + 15n + -24n Combine like terms: -21 + -9 = -30 -4n = -30 + 15n + -24n Combine like terms: 15n + -24n = -9n -4n = -30 + -9n Solving -4n = -30 + -9n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '9n' to each side of the equation. -4n + 9n = -30 + -9n + 9n Combine like terms: -4n + 9n = 5n 5n = -30 + -9n + 9n Combine like terms: -9n + 9n = 0 5n = -30 + 0 5n = -30 Divide each side by '5'. n = -6 Simplifying n = -6
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