35+7n=7(4n+11)

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Solution for 35+7n=7(4n+11) equation:


Simplifying
35 + 7n = 7(4n + 11)

Reorder the terms:
35 + 7n = 7(11 + 4n)
35 + 7n = (11 * 7 + 4n * 7)
35 + 7n = (77 + 28n)

Solving
35 + 7n = 77 + 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.
35 + 7n + -28n = 77 + 28n + -28n

Combine like terms: 7n + -28n = -21n
35 + -21n = 77 + 28n + -28n

Combine like terms: 28n + -28n = 0
35 + -21n = 77 + 0
35 + -21n = 77

Add '-35' to each side of the equation.
35 + -35 + -21n = 77 + -35

Combine like terms: 35 + -35 = 0
0 + -21n = 77 + -35
-21n = 77 + -35

Combine like terms: 77 + -35 = 42
-21n = 42

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

Simplifying
n = -2

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