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Simplifying -116 = 4(4n + 3) Reorder the terms: -116 = 4(3 + 4n) -116 = (3 * 4 + 4n * 4) -116 = (12 + 16n) Solving -116 = 12 + 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 = 12 + 16n + -16n Combine like terms: 16n + -16n = 0 -116 + -16n = 12 + 0 -116 + -16n = 12 Add '116' to each side of the equation. -116 + 116 + -16n = 12 + 116 Combine like terms: -116 + 116 = 0 0 + -16n = 12 + 116 -16n = 12 + 116 Combine like terms: 12 + 116 = 128 -16n = 128 Divide each side by '-16'. n = -8 Simplifying n = -8
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