4(n-10)+5n=14

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Solution for 4(n-10)+5n=14 equation:


Simplifying
4(n + -10) + 5n = 14

Reorder the terms:
4(-10 + n) + 5n = 14
(-10 * 4 + n * 4) + 5n = 14
(-40 + 4n) + 5n = 14

Combine like terms: 4n + 5n = 9n
-40 + 9n = 14

Solving
-40 + 9n = 14

Solving for variable 'n'.

Move all terms containing n to the left, all other terms to the right.

Add '40' to each side of the equation.
-40 + 40 + 9n = 14 + 40

Combine like terms: -40 + 40 = 0
0 + 9n = 14 + 40
9n = 14 + 40

Combine like terms: 14 + 40 = 54
9n = 54

Divide each side by '9'.
n = 6

Simplifying
n = 6

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