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Simplifying -4(-4n + 7) + -5n = -116 Reorder the terms: -4(7 + -4n) + -5n = -116 (7 * -4 + -4n * -4) + -5n = -116 (-28 + 16n) + -5n = -116 Combine like terms: 16n + -5n = 11n -28 + 11n = -116 Solving -28 + 11n = -116 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 + 11n = -116 + 28 Combine like terms: -28 + 28 = 0 0 + 11n = -116 + 28 11n = -116 + 28 Combine like terms: -116 + 28 = -88 11n = -88 Divide each side by '11'. n = -8 Simplifying n = -8
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