4(n-1)+10n=4(n+7)

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Solution for 4(n-1)+10n=4(n+7) equation:


Simplifying
4(n + -1) + 10n = 4(n + 7)

Reorder the terms:
4(-1 + n) + 10n = 4(n + 7)
(-1 * 4 + n * 4) + 10n = 4(n + 7)
(-4 + 4n) + 10n = 4(n + 7)

Combine like terms: 4n + 10n = 14n
-4 + 14n = 4(n + 7)

Reorder the terms:
-4 + 14n = 4(7 + n)
-4 + 14n = (7 * 4 + n * 4)
-4 + 14n = (28 + 4n)

Solving
-4 + 14n = 28 + 4n

Solving for variable 'n'.

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

Add '-4n' to each side of the equation.
-4 + 14n + -4n = 28 + 4n + -4n

Combine like terms: 14n + -4n = 10n
-4 + 10n = 28 + 4n + -4n

Combine like terms: 4n + -4n = 0
-4 + 10n = 28 + 0
-4 + 10n = 28

Add '4' to each side of the equation.
-4 + 4 + 10n = 28 + 4

Combine like terms: -4 + 4 = 0
0 + 10n = 28 + 4
10n = 28 + 4

Combine like terms: 28 + 4 = 32
10n = 32

Divide each side by '10'.
n = 3.2

Simplifying
n = 3.2

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