49+7n=7(1+4n)

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Solution for 49+7n=7(1+4n) equation:


Simplifying
49 + 7n = 7(1 + 4n)
49 + 7n = (1 * 7 + 4n * 7)
49 + 7n = (7 + 28n)

Solving
49 + 7n = 7 + 28n

Solving for variable 'n'.

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

Add '-28n' to each side of the equation.
49 + 7n + -28n = 7 + 28n + -28n

Combine like terms: 7n + -28n = -21n
49 + -21n = 7 + 28n + -28n

Combine like terms: 28n + -28n = 0
49 + -21n = 7 + 0
49 + -21n = 7

Add '-49' to each side of the equation.
49 + -49 + -21n = 7 + -49

Combine like terms: 49 + -49 = 0
0 + -21n = 7 + -49
-21n = 7 + -49

Combine like terms: 7 + -49 = -42
-21n = -42

Divide each side by '-21'.
n = 2

Simplifying
n = 2

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