-4(2n+1)-3(2n-5)=19

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Solution for -4(2n+1)-3(2n-5)=19 equation: 


Simplifying
-4(2n + 1) + -3(2n + -5) = 19

Reorder the terms:
-4(1 + 2n) + -3(2n + -5) = 19
(1 * -4 + 2n * -4) + -3(2n + -5) = 19
(-4 + -8n) + -3(2n + -5) = 19

Reorder the terms:
-4 + -8n + -3(-5 + 2n) = 19
-4 + -8n + (-5 * -3 + 2n * -3) = 19
-4 + -8n + (15 + -6n) = 19

Reorder the terms:
-4 + 15 + -8n + -6n = 19

Combine like terms: -4 + 15 = 11
11 + -8n + -6n = 19

Combine like terms: -8n + -6n = -14n
11 + -14n = 19

Solving
11 + -14n = 19

Solving for variable 'n'.

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

Add '-11' to each side of the equation.
11 + -11 + -14n = 19 + -11

Combine like terms: 11 + -11 = 0
0 + -14n = 19 + -11
-14n = 19 + -11

Combine like terms: 19 + -11 = 8
-14n = 8

Divide each side by '-14'.
n = -0.5714285714

Simplifying
n = -0.5714285714

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