14+2(3p+1)=6(4-p)

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Solution for 14+2(3p+1)=6(4-p) equation: 


Simplifying
14 + 2(3p + 1) = 6(4 + -1p)

Reorder the terms:
14 + 2(1 + 3p) = 6(4 + -1p)
14 + (1 * 2 + 3p * 2) = 6(4 + -1p)
14 + (2 + 6p) = 6(4 + -1p)

Combine like terms: 14 + 2 = 16
16 + 6p = 6(4 + -1p)
16 + 6p = (4 * 6 + -1p * 6)
16 + 6p = (24 + -6p)

Solving
16 + 6p = 24 + -6p

Solving for variable 'p'.

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

Add '6p' to each side of the equation.
16 + 6p + 6p = 24 + -6p + 6p

Combine like terms: 6p + 6p = 12p
16 + 12p = 24 + -6p + 6p

Combine like terms: -6p + 6p = 0
16 + 12p = 24 + 0
16 + 12p = 24

Add '-16' to each side of the equation.
16 + -16 + 12p = 24 + -16

Combine like terms: 16 + -16 = 0
0 + 12p = 24 + -16
12p = 24 + -16

Combine like terms: 24 + -16 = 8
12p = 8

Divide each side by '12'.
p = 0.6666666667

Simplifying
p = 0.6666666667

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