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Simplifying -4(4n + 1) = -116 Reorder the terms: -4(1 + 4n) = -116 (1 * -4 + 4n * -4) = -116 (-4 + -16n) = -116 Solving -4 + -16n = -116 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + -16n = -116 + 4 Combine like terms: -4 + 4 = 0 0 + -16n = -116 + 4 -16n = -116 + 4 Combine like terms: -116 + 4 = -112 -16n = -112 Divide each side by '-16'. n = 7 Simplifying n = 7
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