2+6p=3(6p-8)+p

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


Simplifying
2 + 6p = 3(6p + -8) + p

Reorder the terms:
2 + 6p = 3(-8 + 6p) + p
2 + 6p = (-8 * 3 + 6p * 3) + p
2 + 6p = (-24 + 18p) + p

Combine like terms: 18p + p = 19p
2 + 6p = -24 + 19p

Solving
2 + 6p = -24 + 19p

Solving for variable 'p'.

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

Add '-19p' to each side of the equation.
2 + 6p + -19p = -24 + 19p + -19p

Combine like terms: 6p + -19p = -13p
2 + -13p = -24 + 19p + -19p

Combine like terms: 19p + -19p = 0
2 + -13p = -24 + 0
2 + -13p = -24

Add '-2' to each side of the equation.
2 + -2 + -13p = -24 + -2

Combine like terms: 2 + -2 = 0
0 + -13p = -24 + -2
-13p = -24 + -2

Combine like terms: -24 + -2 = -26
-13p = -26

Divide each side by '-13'.
p = 2

Simplifying
p = 2

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