Question

242= - 8 (1 - 4v) -6 help

Answer 1

The equation 242 = - 8(1 - 4v) - 6 can be solved by distributing the -8, combining like terms, and dividing by 32, yielding a value of 'v' equal to 8.

Step-by-step explanation:

The student's question involves solving an algebraic equation. They are asking how to find the value of 'v' in the equation 242 = - 8(1 - 4v) - 6. Let's solve it step by step:

1. Start with the original equation. 242 = -8(1 - 4v) - 6.
2. Distribute the -8 within the parentheses: 242 = -8 + 32v - 6.
3. Combine like terms (in this case, the constants -8 and -6): 242 = 32v - 14.
4. Add 14 to both sides to isolate the variable term: 256 = 32v.
5. Finally, divide both sides by 32 to solve for 'v': v = 8.

Therefore, the value of 'v' that solves the equation is 8.