3n+40=7(6-7n)-2

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Solution for 3n+40=7(6-7n)-2 equation:


Simplifying
3n + 40 = 7(6 + -7n) + -2

Reorder the terms:
40 + 3n = 7(6 + -7n) + -2
40 + 3n = (6 * 7 + -7n * 7) + -2
40 + 3n = (42 + -49n) + -2

Reorder the terms:
40 + 3n = 42 + -2 + -49n

Combine like terms: 42 + -2 = 40
40 + 3n = 40 + -49n

Add '-40' to each side of the equation.
40 + -40 + 3n = 40 + -40 + -49n

Combine like terms: 40 + -40 = 0
0 + 3n = 40 + -40 + -49n
3n = 40 + -40 + -49n

Combine like terms: 40 + -40 = 0
3n = 0 + -49n
3n = -49n

Solving
3n = -49n

Solving for variable 'n'.

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

Add '49n' to each side of the equation.
3n + 49n = -49n + 49n

Combine like terms: 3n + 49n = 52n
52n = -49n + 49n

Combine like terms: -49n + 49n = 0
52n = 0

Divide each side by '52'.
n = 0

Simplifying
n = 0

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