Equation: 4n+2(6n−1)=−114

Sure, let's solve the equation step by step.

Step 1: Distribute the 2 in the parentheses on the right side of the equation. 4n + 26n - 21 = -114 This simplifies to: 4n + 12n - 2 = -114

Step 2: Combine like terms on the left side of the equation. 16n - 2 = -114

Step 3: Add 2 to both sides of the equation to isolate the term with n on one side. 16n = -112

Step 4: Divide both sides of the equation by 16 to solve for n. n = -112 / 16

So, the solution to the equation is n = -7.