what value of "n" makes the value of 4n – 5 and 2n + 14 the same
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Answer:
Simplifying
4n + -5 = 2n + 14
Reorder the terms:
-5 + 4n = 2n + 14
Reorder the terms:
-5 + 4n = 14 + 2n
Solving
-5 + 4n = 14 + 2n
Solving for variable 'n'.
Move all terms containing n to the left, all other terms to the right.
Add '-2n' to each side of the equation.
-5 + 4n + -2n = 14 + 2n + -2n
Combine like terms: 4n + -2n = 2n
-5 + 2n = 14 + 2n + -2n
Combine like terms: 2n + -2n = 0
-5 + 2n = 14 + 0
-5 + 2n = 14
Add '5' to each side of the equation.
-5 + 5 + 2n = 14 + 5
Combine like terms: -5 + 5 = 0
0 + 2n = 14 + 5
2n = 14 + 5
Combine like terms: 14 + 5 = 19
2n = 19
Divide each side by '2'.
n = 9.5
Simplifying
n = 9.5
Step-by-step explanation:
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