8(2n-5)-6(3n-7)=1

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Solution for 8(2n-5)-6(3n-7)=1 equation: 


Simplifying
8(2n + -5) + -6(3n + -7) = 1

Reorder the terms:
8(-5 + 2n) + -6(3n + -7) = 1
(-5 * 8 + 2n * 8) + -6(3n + -7) = 1
(-40 + 16n) + -6(3n + -7) = 1

Reorder the terms:
-40 + 16n + -6(-7 + 3n) = 1
-40 + 16n + (-7 * -6 + 3n * -6) = 1
-40 + 16n + (42 + -18n) = 1

Reorder the terms:
-40 + 42 + 16n + -18n = 1

Combine like terms: -40 + 42 = 2
2 + 16n + -18n = 1

Combine like terms: 16n + -18n = -2n
2 + -2n = 1

Solving
2 + -2n = 1

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 + -2n = 1 + -2

Combine like terms: 2 + -2 = 0
0 + -2n = 1 + -2
-2n = 1 + -2

Combine like terms: 1 + -2 = -1
-2n = -1

Divide each side by '-2'.
n = 0.5

Simplifying
n = 0.5

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