2+6(5p-4)=(p-2)

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Solution for 2+6(5p-4)=(p-2) equation:


Simplifying
2 + 6(5p + -4) = (p + -2)

Reorder the terms:
2 + 6(-4 + 5p) = (p + -2)
2 + (-4 * 6 + 5p * 6) = (p + -2)
2 + (-24 + 30p) = (p + -2)

Combine like terms: 2 + -24 = -22
-22 + 30p = (p + -2)

Reorder the terms:
-22 + 30p = (-2 + p)

Remove parenthesis around (-2 + p)
-22 + 30p = -2 + p

Solving
-22 + 30p = -2 + p

Solving for variable 'p'.

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

Add '-1p' to each side of the equation.
-22 + 30p + -1p = -2 + p + -1p

Combine like terms: 30p + -1p = 29p
-22 + 29p = -2 + p + -1p

Combine like terms: p + -1p = 0
-22 + 29p = -2 + 0
-22 + 29p = -2

Add '22' to each side of the equation.
-22 + 22 + 29p = -2 + 22

Combine like terms: -22 + 22 = 0
0 + 29p = -2 + 22
29p = -2 + 22

Combine like terms: -2 + 22 = 20
29p = 20

Divide each side by '29'.
p = 0.6896551724

Simplifying
p = 0.6896551724

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