23=-4(n-3)+3(1+2n)

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Solution for 23=-4(n-3)+3(1+2n) equation:


Simplifying
23 = -4(n + -3) + 3(1 + 2n)

Reorder the terms:
23 = -4(-3 + n) + 3(1 + 2n)
23 = (-3 * -4 + n * -4) + 3(1 + 2n)
23 = (12 + -4n) + 3(1 + 2n)
23 = 12 + -4n + (1 * 3 + 2n * 3)
23 = 12 + -4n + (3 + 6n)

Reorder the terms:
23 = 12 + 3 + -4n + 6n

Combine like terms: 12 + 3 = 15
23 = 15 + -4n + 6n

Combine like terms: -4n + 6n = 2n
23 = 15 + 2n

Solving
23 = 15 + 2n

Solving for variable 'n'.

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

Add '-2n' to each side of the equation.
23 + -2n = 15 + 2n + -2n

Combine like terms: 2n + -2n = 0
23 + -2n = 15 + 0
23 + -2n = 15

Add '-23' to each side of the equation.
23 + -23 + -2n = 15 + -23

Combine like terms: 23 + -23 = 0
0 + -2n = 15 + -23
-2n = 15 + -23

Combine like terms: 15 + -23 = -8
-2n = -8

Divide each side by '-2'.
n = 4

Simplifying
n = 4

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