14-2(3p+1)=5(4+p)

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Solution for 14-2(3p+1)=5(4+p) equation:


Simplifying
14 + -2(3p + 1) = 5(4 + p)

Reorder the terms:
14 + -2(1 + 3p) = 5(4 + p)
14 + (1 * -2 + 3p * -2) = 5(4 + p)
14 + (-2 + -6p) = 5(4 + p)

Combine like terms: 14 + -2 = 12
12 + -6p = 5(4 + p)
12 + -6p = (4 * 5 + p * 5)
12 + -6p = (20 + 5p)

Solving
12 + -6p = 20 + 5p

Solving for variable 'p'.

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

Add '-5p' to each side of the equation.
12 + -6p + -5p = 20 + 5p + -5p

Combine like terms: -6p + -5p = -11p
12 + -11p = 20 + 5p + -5p

Combine like terms: 5p + -5p = 0
12 + -11p = 20 + 0
12 + -11p = 20

Add '-12' to each side of the equation.
12 + -12 + -11p = 20 + -12

Combine like terms: 12 + -12 = 0
0 + -11p = 20 + -12
-11p = 20 + -12

Combine like terms: 20 + -12 = 8
-11p = 8

Divide each side by '-11'.
p = -0.7272727273

Simplifying
p = -0.7272727273

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