2+5(p-1)=5p-(p-2)

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Solution for 2+5(p-1)=5p-(p-2) equation:


Simplifying
2 + 5(p + -1) = 5p + -1(p + -2)

Reorder the terms:
2 + 5(-1 + p) = 5p + -1(p + -2)
2 + (-1 * 5 + p * 5) = 5p + -1(p + -2)
2 + (-5 + 5p) = 5p + -1(p + -2)

Combine like terms: 2 + -5 = -3
-3 + 5p = 5p + -1(p + -2)

Reorder the terms:
-3 + 5p = 5p + -1(-2 + p)
-3 + 5p = 5p + (-2 * -1 + p * -1)
-3 + 5p = 5p + (2 + -1p)

Reorder the terms:
-3 + 5p = 2 + 5p + -1p

Combine like terms: 5p + -1p = 4p
-3 + 5p = 2 + 4p

Solving
-3 + 5p = 2 + 4p

Solving for variable 'p'.

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

Add '-4p' to each side of the equation.
-3 + 5p + -4p = 2 + 4p + -4p

Combine like terms: 5p + -4p = 1p
-3 + 1p = 2 + 4p + -4p

Combine like terms: 4p + -4p = 0
-3 + 1p = 2 + 0
-3 + 1p = 2

Add '3' to each side of the equation.
-3 + 3 + 1p = 2 + 3

Combine like terms: -3 + 3 = 0
0 + 1p = 2 + 3
1p = 2 + 3

Combine like terms: 2 + 3 = 5
1p = 5

Divide each side by '1'.
p = 5

Simplifying
p = 5

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