4p-14+2p+3=14p-10+2p-21

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Solution for 4p-14+2p+3=14p-10+2p-21 equation:


Simplifying
4p + -14 + 2p + 3 = 14p + -10 + 2p + -21

Reorder the terms:
-14 + 3 + 4p + 2p = 14p + -10 + 2p + -21

Combine like terms: -14 + 3 = -11
-11 + 4p + 2p = 14p + -10 + 2p + -21

Combine like terms: 4p + 2p = 6p
-11 + 6p = 14p + -10 + 2p + -21

Reorder the terms:
-11 + 6p = -10 + -21 + 14p + 2p

Combine like terms: -10 + -21 = -31
-11 + 6p = -31 + 14p + 2p

Combine like terms: 14p + 2p = 16p
-11 + 6p = -31 + 16p

Solving
-11 + 6p = -31 + 16p

Solving for variable 'p'.

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

Add '-16p' to each side of the equation.
-11 + 6p + -16p = -31 + 16p + -16p

Combine like terms: 6p + -16p = -10p
-11 + -10p = -31 + 16p + -16p

Combine like terms: 16p + -16p = 0
-11 + -10p = -31 + 0
-11 + -10p = -31

Add '11' to each side of the equation.
-11 + 11 + -10p = -31 + 11

Combine like terms: -11 + 11 = 0
0 + -10p = -31 + 11
-10p = -31 + 11

Combine like terms: -31 + 11 = -20
-10p = -20

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

Simplifying
p = 2

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