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Simplifying 4(n + -4) + 2(-3 + -1n) = -34 Reorder the terms: 4(-4 + n) + 2(-3 + -1n) = -34 (-4 * 4 + n * 4) + 2(-3 + -1n) = -34 (-16 + 4n) + 2(-3 + -1n) = -34 -16 + 4n + (-3 * 2 + -1n * 2) = -34 -16 + 4n + (-6 + -2n) = -34 Reorder the terms: -16 + -6 + 4n + -2n = -34 Combine like terms: -16 + -6 = -22 -22 + 4n + -2n = -34 Combine like terms: 4n + -2n = 2n -22 + 2n = -34 Solving -22 + 2n = -34 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '22' to each side of the equation. -22 + 22 + 2n = -34 + 22 Combine like terms: -22 + 22 = 0 0 + 2n = -34 + 22 2n = -34 + 22 Combine like terms: -34 + 22 = -12 2n = -12 Divide each side by '2'. n = -6 Simplifying n = -6
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