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Simplifying 116 = -4(4n + -1) Reorder the terms: 116 = -4(-1 + 4n) 116 = (-1 * -4 + 4n * -4) 116 = (4 + -16n) Solving 116 = 4 + -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 = 4 + -16n + 16n Combine like terms: -16n + 16n = 0 116 + 16n = 4 + 0 116 + 16n = 4 Add '-116' to each side of the equation. 116 + -116 + 16n = 4 + -116 Combine like terms: 116 + -116 = 0 0 + 16n = 4 + -116 16n = 4 + -116 Combine like terms: 4 + -116 = -112 16n = -112 Divide each side by '16'. n = -7 Simplifying n = -7
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