n+(4n-2)+(4n-7)=45

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Solution for n+(4n-2)+(4n-7)=45 equation:


Simplifying
n + (4n + -2) + (4n + -7) = 45

Reorder the terms:
n + (-2 + 4n) + (4n + -7) = 45

Remove parenthesis around (-2 + 4n)
n + -2 + 4n + (4n + -7) = 45

Reorder the terms:
n + -2 + 4n + (-7 + 4n) = 45

Remove parenthesis around (-7 + 4n)
n + -2 + 4n + -7 + 4n = 45

Reorder the terms:
-2 + -7 + n + 4n + 4n = 45

Combine like terms: -2 + -7 = -9
-9 + n + 4n + 4n = 45

Combine like terms: n + 4n = 5n
-9 + 5n + 4n = 45

Combine like terms: 5n + 4n = 9n
-9 + 9n = 45

Solving
-9 + 9n = 45

Solving for variable 'n'.

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

Add '9' to each side of the equation.
-9 + 9 + 9n = 45 + 9

Combine like terms: -9 + 9 = 0
0 + 9n = 45 + 9
9n = 45 + 9

Combine like terms: 45 + 9 = 54
9n = 54

Divide each side by '9'.
n = 6

Simplifying
n = 6

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