solve: 41 - 2n = -5(2n - 8)
Mathematics · Middle School · Thu Feb 04 2021
Answered on
Given the equation:
41 - 2n = -5(2n - 8)
Solve for n.
Solution:
In order to solve for n, we simply need to distribute -5 to each value inside the parenthesis, then combine similar terms.
41 - 2n = -5(2n - 8)
41 - 2n = -10n + 8
Transpose -10n and 41 to the opposite sides of the equation. Hence we must take note that in transposing a number, the sign changes.
10n - 2n = 8 - 41
8n = -33
Divide both sides by 8 in order to determine the value of n.
8n/8 = -33/8
n = -33/8
Final answer:
n = -33/8