5p-2=-2(-3p+6)

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Solution for 5p-2=-2(-3p+6) equation:


Simplifying
5p + -2 = -2(-3p + 6)

Reorder the terms:
-2 + 5p = -2(-3p + 6)

Reorder the terms:
-2 + 5p = -2(6 + -3p)
-2 + 5p = (6 * -2 + -3p * -2)
-2 + 5p = (-12 + 6p)

Solving
-2 + 5p = -12 + 6p

Solving for variable 'p'.

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

Add '-6p' to each side of the equation.
-2 + 5p + -6p = -12 + 6p + -6p

Combine like terms: 5p + -6p = -1p
-2 + -1p = -12 + 6p + -6p

Combine like terms: 6p + -6p = 0
-2 + -1p = -12 + 0
-2 + -1p = -12

Add '2' to each side of the equation.
-2 + 2 + -1p = -12 + 2

Combine like terms: -2 + 2 = 0
0 + -1p = -12 + 2
-1p = -12 + 2

Combine like terms: -12 + 2 = -10
-1p = -10

Divide each side by '-1'.
p = 10

Simplifying
p = 10

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