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 + p)

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

Combine like terms: 14 + -2 = 12
12 + -6p = 6(4 + p)
12 + -6p = (4 * 6 + p * 6)
12 + -6p = (24 + 6p)

Solving
12 + -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.
12 + -6p + -6p = 24 + 6p + -6p

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

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

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

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

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

Divide each side by '-12'.
p = -1

Simplifying
p = -1

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