n+36=7(n+3)-3

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Solution for n+36=7(n+3)-3 equation:


Simplifying
n + 36 = 7(n + 3) + -3

Reorder the terms:
36 + n = 7(n + 3) + -3

Reorder the terms:
36 + n = 7(3 + n) + -3
36 + n = (3 * 7 + n * 7) + -3
36 + n = (21 + 7n) + -3

Reorder the terms:
36 + n = 21 + -3 + 7n

Combine like terms: 21 + -3 = 18
36 + n = 18 + 7n

Solving
36 + n = 18 + 7n

Solving for variable 'n'.

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

Add '-7n' to each side of the equation.
36 + n + -7n = 18 + 7n + -7n

Combine like terms: n + -7n = -6n
36 + -6n = 18 + 7n + -7n

Combine like terms: 7n + -7n = 0
36 + -6n = 18 + 0
36 + -6n = 18

Add '-36' to each side of the equation.
36 + -36 + -6n = 18 + -36

Combine like terms: 36 + -36 = 0
0 + -6n = 18 + -36
-6n = 18 + -36

Combine like terms: 18 + -36 = -18
-6n = -18

Divide each side by '-6'.
n = 3

Simplifying
n = 3

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