6p+2(4-2p)=3p+4

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Solution for 6p+2(4-2p)=3p+4 equation:


Simplifying
6p + 2(4 + -2p) = 3p + 4
6p + (4 * 2 + -2p * 2) = 3p + 4
6p + (8 + -4p) = 3p + 4

Reorder the terms:
8 + 6p + -4p = 3p + 4

Combine like terms: 6p + -4p = 2p
8 + 2p = 3p + 4

Reorder the terms:
8 + 2p = 4 + 3p

Solving
8 + 2p = 4 + 3p

Solving for variable 'p'.

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

Add '-3p' to each side of the equation.
8 + 2p + -3p = 4 + 3p + -3p

Combine like terms: 2p + -3p = -1p
8 + -1p = 4 + 3p + -3p

Combine like terms: 3p + -3p = 0
8 + -1p = 4 + 0
8 + -1p = 4

Add '-8' to each side of the equation.
8 + -8 + -1p = 4 + -8

Combine like terms: 8 + -8 = 0
0 + -1p = 4 + -8
-1p = 4 + -8

Combine like terms: 4 + -8 = -4
-1p = -4

Divide each side by '-1'.
p = 4

Simplifying
p = 4

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