3p-1=5(p-5)-2(7-2p)

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Solution for 3p-1=5(p-5)-2(7-2p) equation:


Simplifying
3p + -1 = 5(p + -5) + -2(7 + -2p)

Reorder the terms:
-1 + 3p = 5(p + -5) + -2(7 + -2p)

Reorder the terms:
-1 + 3p = 5(-5 + p) + -2(7 + -2p)
-1 + 3p = (-5 * 5 + p * 5) + -2(7 + -2p)
-1 + 3p = (-25 + 5p) + -2(7 + -2p)
-1 + 3p = -25 + 5p + (7 * -2 + -2p * -2)
-1 + 3p = -25 + 5p + (-14 + 4p)

Reorder the terms:
-1 + 3p = -25 + -14 + 5p + 4p

Combine like terms: -25 + -14 = -39
-1 + 3p = -39 + 5p + 4p

Combine like terms: 5p + 4p = 9p
-1 + 3p = -39 + 9p

Solving
-1 + 3p = -39 + 9p

Solving for variable 'p'.

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

Add '-9p' to each side of the equation.
-1 + 3p + -9p = -39 + 9p + -9p

Combine like terms: 3p + -9p = -6p
-1 + -6p = -39 + 9p + -9p

Combine like terms: 9p + -9p = 0
-1 + -6p = -39 + 0
-1 + -6p = -39

Add '1' to each side of the equation.
-1 + 1 + -6p = -39 + 1

Combine like terms: -1 + 1 = 0
0 + -6p = -39 + 1
-6p = -39 + 1

Combine like terms: -39 + 1 = -38
-6p = -38

Divide each side by '-6'.
p = 6.333333333

Simplifying
p = 6.333333333

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