7n-3=-4(n-1)+5

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Solution for 7n-3=-4(n-1)+5 equation:


Simplifying
7n + -3 = -4(n + -1) + 5

Reorder the terms:
-3 + 7n = -4(n + -1) + 5

Reorder the terms:
-3 + 7n = -4(-1 + n) + 5
-3 + 7n = (-1 * -4 + n * -4) + 5
-3 + 7n = (4 + -4n) + 5

Reorder the terms:
-3 + 7n = 4 + 5 + -4n

Combine like terms: 4 + 5 = 9
-3 + 7n = 9 + -4n

Solving
-3 + 7n = 9 + -4n

Solving for variable 'n'.

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

Add '4n' to each side of the equation.
-3 + 7n + 4n = 9 + -4n + 4n

Combine like terms: 7n + 4n = 11n
-3 + 11n = 9 + -4n + 4n

Combine like terms: -4n + 4n = 0
-3 + 11n = 9 + 0
-3 + 11n = 9

Add '3' to each side of the equation.
-3 + 3 + 11n = 9 + 3

Combine like terms: -3 + 3 = 0
0 + 11n = 9 + 3
11n = 9 + 3

Combine like terms: 9 + 3 = 12
11n = 12

Divide each side by '11'.
n = 1.090909091

Simplifying
n = 1.090909091

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