49=-6(n-3)+7

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Solution for 49=-6(n-3)+7 equation:


Simplifying
49 = -6(n + -3) + 7

Reorder the terms:
49 = -6(-3 + n) + 7
49 = (-3 * -6 + n * -6) + 7
49 = (18 + -6n) + 7

Reorder the terms:
49 = 18 + 7 + -6n

Combine like terms: 18 + 7 = 25
49 = 25 + -6n

Solving
49 = 25 + -6n

Solving for variable 'n'.

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

Add '6n' to each side of the equation.
49 + 6n = 25 + -6n + 6n

Combine like terms: -6n + 6n = 0
49 + 6n = 25 + 0
49 + 6n = 25

Add '-49' to each side of the equation.
49 + -49 + 6n = 25 + -49

Combine like terms: 49 + -49 = 0
0 + 6n = 25 + -49
6n = 25 + -49

Combine like terms: 25 + -49 = -24
6n = -24

Divide each side by '6'.
n = -4

Simplifying
n = -4

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