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Simplifying -4(-3n + 1) = 11 + -3n Reorder the terms: -4(1 + -3n) = 11 + -3n (1 * -4 + -3n * -4) = 11 + -3n (-4 + 12n) = 11 + -3n Solving -4 + 12n = 11 + -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. -4 + 12n + 3n = 11 + -3n + 3n Combine like terms: 12n + 3n = 15n -4 + 15n = 11 + -3n + 3n Combine like terms: -3n + 3n = 0 -4 + 15n = 11 + 0 -4 + 15n = 11 Add '4' to each side of the equation. -4 + 4 + 15n = 11 + 4 Combine like terms: -4 + 4 = 0 0 + 15n = 11 + 4 15n = 11 + 4 Combine like terms: 11 + 4 = 15 15n = 15 Divide each side by '15'. n = 1 Simplifying n = 1
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