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

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


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

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

Combine like terms: 14 + -2 = 12
12 + -6p = 4 + p

Solving
12 + -6p = 4 + p

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.
12 + -6p + -1p = 4 + p + -1p

Combine like terms: -6p + -1p = -7p
12 + -7p = 4 + p + -1p

Combine like terms: p + -1p = 0
12 + -7p = 4 + 0
12 + -7p = 4

Add '-12' to each side of the equation.
12 + -12 + -7p = 4 + -12

Combine like terms: 12 + -12 = 0
0 + -7p = 4 + -12
-7p = 4 + -12

Combine like terms: 4 + -12 = -8
-7p = -8

Divide each side by '-7'.
p = 1.142857143

Simplifying
p = 1.142857143

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