28+2n=2-8(6n+3)

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Solution for 28+2n=2-8(6n+3) equation:


Simplifying
28 + 2n = 2 + -8(6n + 3)

Reorder the terms:
28 + 2n = 2 + -8(3 + 6n)
28 + 2n = 2 + (3 * -8 + 6n * -8)
28 + 2n = 2 + (-24 + -48n)

Combine like terms: 2 + -24 = -22
28 + 2n = -22 + -48n

Solving
28 + 2n = -22 + -48n

Solving for variable 'n'.

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

Add '48n' to each side of the equation.
28 + 2n + 48n = -22 + -48n + 48n

Combine like terms: 2n + 48n = 50n
28 + 50n = -22 + -48n + 48n

Combine like terms: -48n + 48n = 0
28 + 50n = -22 + 0
28 + 50n = -22

Add '-28' to each side of the equation.
28 + -28 + 50n = -22 + -28

Combine like terms: 28 + -28 = 0
0 + 50n = -22 + -28
50n = -22 + -28

Combine like terms: -22 + -28 = -50
50n = -50

Divide each side by '50'.
n = -1

Simplifying
n = -1

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