7(n-8)=3n-15

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Solution for 7(n-8)=3n-15 equation:


Simplifying
7(n + -8) = 3n + -15

Reorder the terms:
7(-8 + n) = 3n + -15
(-8 * 7 + n * 7) = 3n + -15
(-56 + 7n) = 3n + -15

Reorder the terms:
-56 + 7n = -15 + 3n

Solving
-56 + 7n = -15 + 3n

Solving for variable 'n'.

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

Add '-3n' to each side of the equation.
-56 + 7n + -3n = -15 + 3n + -3n

Combine like terms: 7n + -3n = 4n
-56 + 4n = -15 + 3n + -3n

Combine like terms: 3n + -3n = 0
-56 + 4n = -15 + 0
-56 + 4n = -15

Add '56' to each side of the equation.
-56 + 56 + 4n = -15 + 56

Combine like terms: -56 + 56 = 0
0 + 4n = -15 + 56
4n = -15 + 56

Combine like terms: -15 + 56 = 41
4n = 41

Divide each side by '4'.
n = 10.25

Simplifying
n = 10.25

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