-8(3n-7)=26-5n

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Solution for -8(3n-7)=26-5n equation:


Simplifying
-8(3n + -7) = 26 + -5n

Reorder the terms:
-8(-7 + 3n) = 26 + -5n
(-7 * -8 + 3n * -8) = 26 + -5n
(56 + -24n) = 26 + -5n

Solving
56 + -24n = 26 + -5n

Solving for variable 'n'.

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

Add '5n' to each side of the equation.
56 + -24n + 5n = 26 + -5n + 5n

Combine like terms: -24n + 5n = -19n
56 + -19n = 26 + -5n + 5n

Combine like terms: -5n + 5n = 0
56 + -19n = 26 + 0
56 + -19n = 26

Add '-56' to each side of the equation.
56 + -56 + -19n = 26 + -56

Combine like terms: 56 + -56 = 0
0 + -19n = 26 + -56
-19n = 26 + -56

Combine like terms: 26 + -56 = -30
-19n = -30

Divide each side by '-19'.
n = 1.578947368

Simplifying
n = 1.578947368

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