3(2n-5)-8=-(4n+3)

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Solution for 3(2n-5)-8=-(4n+3) equation:


Simplifying
3(2n + -5) + -8 = -1(4n + 3)

Reorder the terms:
3(-5 + 2n) + -8 = -1(4n + 3)
(-5 * 3 + 2n * 3) + -8 = -1(4n + 3)
(-15 + 6n) + -8 = -1(4n + 3)

Reorder the terms:
-15 + -8 + 6n = -1(4n + 3)

Combine like terms: -15 + -8 = -23
-23 + 6n = -1(4n + 3)

Reorder the terms:
-23 + 6n = -1(3 + 4n)
-23 + 6n = (3 * -1 + 4n * -1)
-23 + 6n = (-3 + -4n)

Solving
-23 + 6n = -3 + -4n

Solving for variable 'n'.

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

Add '4n' to each side of the equation.
-23 + 6n + 4n = -3 + -4n + 4n

Combine like terms: 6n + 4n = 10n
-23 + 10n = -3 + -4n + 4n

Combine like terms: -4n + 4n = 0
-23 + 10n = -3 + 0
-23 + 10n = -3

Add '23' to each side of the equation.
-23 + 23 + 10n = -3 + 23

Combine like terms: -23 + 23 = 0
0 + 10n = -3 + 23
10n = -3 + 23

Combine like terms: -3 + 23 = 20
10n = 20

Divide each side by '10'.
n = 2

Simplifying
n = 2

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