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

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


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

Reorder the terms:
(3 + 2n)(-1) = 2(3n + -4)

Reorder the terms for easier multiplication:
-1(3 + 2n) = 2(3n + -4)
(3 * -1 + 2n * -1) = 2(3n + -4)
(-3 + -2n) = 2(3n + -4)

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

Solving
-3 + -2n = -8 + 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.
-3 + -2n + -6n = -8 + 6n + -6n

Combine like terms: -2n + -6n = -8n
-3 + -8n = -8 + 6n + -6n

Combine like terms: 6n + -6n = 0
-3 + -8n = -8 + 0
-3 + -8n = -8

Add '3' to each side of the equation.
-3 + 3 + -8n = -8 + 3

Combine like terms: -3 + 3 = 0
0 + -8n = -8 + 3
-8n = -8 + 3

Combine like terms: -8 + 3 = -5
-8n = -5

Divide each side by '-8'.
n = 0.625

Simplifying
n = 0.625

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