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Simplifying -4(4n + 3) + 2(n + -8) = 0 Reorder the terms: -4(3 + 4n) + 2(n + -8) = 0 (3 * -4 + 4n * -4) + 2(n + -8) = 0 (-12 + -16n) + 2(n + -8) = 0 Reorder the terms: -12 + -16n + 2(-8 + n) = 0 -12 + -16n + (-8 * 2 + n * 2) = 0 -12 + -16n + (-16 + 2n) = 0 Reorder the terms: -12 + -16 + -16n + 2n = 0 Combine like terms: -12 + -16 = -28 -28 + -16n + 2n = 0 Combine like terms: -16n + 2n = -14n -28 + -14n = 0 Solving -28 + -14n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '28' to each side of the equation. -28 + 28 + -14n = 0 + 28 Combine like terms: -28 + 28 = 0 0 + -14n = 0 + 28 -14n = 0 + 28 Combine like terms: 0 + 28 = 28 -14n = 28 Divide each side by '-14'. n = -2 Simplifying n = -2
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