(7n-8)-(3n-6)=

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Solution for (7n-8)-(3n-6)= equation:


Simplifying
(7n + -8) + -1(3n + -6) = 0

Reorder the terms:
(-8 + 7n) + -1(3n + -6) = 0

Remove parenthesis around (-8 + 7n)
-8 + 7n + -1(3n + -6) = 0

Reorder the terms:
-8 + 7n + -1(-6 + 3n) = 0
-8 + 7n + (-6 * -1 + 3n * -1) = 0
-8 + 7n + (6 + -3n) = 0

Reorder the terms:
-8 + 6 + 7n + -3n = 0

Combine like terms: -8 + 6 = -2
-2 + 7n + -3n = 0

Combine like terms: 7n + -3n = 4n
-2 + 4n = 0

Solving
-2 + 4n = 0

Solving for variable 'n'.

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

Add '2' to each side of the equation.
-2 + 2 + 4n = 0 + 2

Combine like terms: -2 + 2 = 0
0 + 4n = 0 + 2
4n = 0 + 2

Combine like terms: 0 + 2 = 2
4n = 2

Divide each side by '4'.
n = 0.5

Simplifying
n = 0.5

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