28-(n-8)=6(n+5)

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Solution for 28-(n-8)=6(n+5) equation:


Simplifying
28 + -1(n + -8) = 6(n + 5)

Reorder the terms:
28 + -1(-8 + n) = 6(n + 5)
28 + (-8 * -1 + n * -1) = 6(n + 5)
28 + (8 + -1n) = 6(n + 5)

Combine like terms: 28 + 8 = 36
36 + -1n = 6(n + 5)

Reorder the terms:
36 + -1n = 6(5 + n)
36 + -1n = (5 * 6 + n * 6)
36 + -1n = (30 + 6n)

Solving
36 + -1n = 30 + 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.
36 + -1n + -6n = 30 + 6n + -6n

Combine like terms: -1n + -6n = -7n
36 + -7n = 30 + 6n + -6n

Combine like terms: 6n + -6n = 0
36 + -7n = 30 + 0
36 + -7n = 30

Add '-36' to each side of the equation.
36 + -36 + -7n = 30 + -36

Combine like terms: 36 + -36 = 0
0 + -7n = 30 + -36
-7n = 30 + -36

Combine like terms: 30 + -36 = -6
-7n = -6

Divide each side by '-7'.
n = 0.8571428571

Simplifying
n = 0.8571428571

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