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Simplifying -3n + 3(n + -4) + -1(n + -1) = 0 Reorder the terms: -3n + 3(-4 + n) + -1(n + -1) = 0 -3n + (-4 * 3 + n * 3) + -1(n + -1) = 0 -3n + (-12 + 3n) + -1(n + -1) = 0 Reorder the terms: -3n + -12 + 3n + -1(-1 + n) = 0 -3n + -12 + 3n + (-1 * -1 + n * -1) = 0 -3n + -12 + 3n + (1 + -1n) = 0 Reorder the terms: -12 + 1 + -3n + 3n + -1n = 0 Combine like terms: -12 + 1 = -11 -11 + -3n + 3n + -1n = 0 Combine like terms: -3n + 3n = 0 -11 + 0 + -1n = 0 -11 + -1n = 0 Solving -11 + -1n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + -1n = 0 + 11 Combine like terms: -11 + 11 = 0 0 + -1n = 0 + 11 -1n = 0 + 11 Combine like terms: 0 + 11 = 11 -1n = 11 Divide each side by '-1'. n = -11 Simplifying n = -11
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