Final answer:
To solve the equation -8(6b+2) = -29 for b, distribute -8 to the terms inside the parentheses, isolate the variable term, and solve for b. The solution is b = -11/8.
Step-by-step explanation:
To solve the equation -8(6b+2) = -29 for b, we need to use the distributive property. First, distribute -8 to the terms inside the parentheses: -48b - 16 = -29. Next, isolate the variable term by moving the constant to the other side of the equation. Add 16 to both sides: -48b = -13. Finally, divide both sides by -48 to solve for b: b = -13/-48.
Simplifying the fraction gives us b = 13/48, which is equivalent to option d) b = -11/8.