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

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


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

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

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

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

Combine like terms: -5 + -14 = -19
1 + 3p = -19 + 5p + -4p

Combine like terms: 5p + -4p = 1p
1 + 3p = -19 + 1p

Solving
1 + 3p = -19 + 1p

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.
1 + 3p + -1p = -19 + 1p + -1p

Combine like terms: 3p + -1p = 2p
1 + 2p = -19 + 1p + -1p

Combine like terms: 1p + -1p = 0
1 + 2p = -19 + 0
1 + 2p = -19

Add '-1' to each side of the equation.
1 + -1 + 2p = -19 + -1

Combine like terms: 1 + -1 = 0
0 + 2p = -19 + -1
2p = -19 + -1

Combine like terms: -19 + -1 = -20
2p = -20

Divide each side by '2'.
p = -10

Simplifying
p = -10

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