-(n-26)=5(3n+2)

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Solution for -(n-26)=5(3n+2) equation: 


Simplifying
-1(n + -26) = 5(3n + 2)

Reorder the terms:
-1(-26 + n) = 5(3n + 2)
(-26 * -1 + n * -1) = 5(3n + 2)
(26 + -1n) = 5(3n + 2)

Reorder the terms:
26 + -1n = 5(2 + 3n)
26 + -1n = (2 * 5 + 3n * 5)
26 + -1n = (10 + 15n)

Solving
26 + -1n = 10 + 15n

Solving for variable 'n'.

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

Add '-15n' to each side of the equation.
26 + -1n + -15n = 10 + 15n + -15n

Combine like terms: -1n + -15n = -16n
26 + -16n = 10 + 15n + -15n

Combine like terms: 15n + -15n = 0
26 + -16n = 10 + 0
26 + -16n = 10

Add '-26' to each side of the equation.
26 + -26 + -16n = 10 + -26

Combine like terms: 26 + -26 = 0
0 + -16n = 10 + -26
-16n = 10 + -26

Combine like terms: 10 + -26 = -16
-16n = -16

Divide each side by '-16'.
n = 1

Simplifying
n = 1

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