Final answer:
To determine the solution to the given linear equation -82 = 6 - 8(x + 3), simplify the equation by distributing the -8 to the terms inside the parentheses. Combine like terms, isolate the variable, and solve for x to find that the solution is x = -8.
Step-by-step explanation:
To determine the solution to the given linear equation -82 = 6 - 8(x + 3), we need to simplify the equation by distributing the -8 to the terms inside the parentheses.
-82 = 6 - 8x - 24
Next, combine like terms:
-82 = -18 - 8x
To isolate the variable, add 18 to both sides of the equation:
-82 + 18 = -18 - 8x + 18
-64 = -8x
Finally, divide both sides by -8:
x = -8