38=4(7+7n)-5(n-2)

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Solution for 38=4(7+7n)-5(n-2) equation: 


Simplifying
38 = 4(7 + 7n) + -5(n + -2)
38 = (7 * 4 + 7n * 4) + -5(n + -2)
38 = (28 + 28n) + -5(n + -2)

Reorder the terms:
38 = 28 + 28n + -5(-2 + n)
38 = 28 + 28n + (-2 * -5 + n * -5)
38 = 28 + 28n + (10 + -5n)

Reorder the terms:
38 = 28 + 10 + 28n + -5n

Combine like terms: 28 + 10 = 38
38 = 38 + 28n + -5n

Combine like terms: 28n + -5n = 23n
38 = 38 + 23n

Add '-38' to each side of the equation.
38 + -38 = 38 + -38 + 23n

Combine like terms: 38 + -38 = 0
0 = 38 + -38 + 23n

Combine like terms: 38 + -38 = 0
0 = 0 + 23n
0 = 23n

Solving
0 = 23n

Solving for variable 'n'.

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

Add '-23n' to each side of the equation.
0 + -23n = 23n + -23n
Remove the zero:
-23n = 23n + -23n

Combine like terms: 23n + -23n = 0
-23n = 0

Divide each side by '-23'.
n = 0

Simplifying
n = 0

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