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Simplifying -116 = -4(4n + 5) Reorder the terms: -116 = -4(5 + 4n) -116 = (5 * -4 + 4n * -4) -116 = (-20 + -16n) Solving -116 = -20 + -16n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '16n' to each side of the equation. -116 + 16n = -20 + -16n + 16n Combine like terms: -16n + 16n = 0 -116 + 16n = -20 + 0 -116 + 16n = -20 Add '116' to each side of the equation. -116 + 116 + 16n = -20 + 116 Combine like terms: -116 + 116 = 0 0 + 16n = -20 + 116 16n = -20 + 116 Combine like terms: -20 + 116 = 96 16n = 96 Divide each side by '16'. n = 6 Simplifying n = 6
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