6(p+3)-2(p-1)=16

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Solution for 6(p+3)-2(p-1)=16 equation: 


Simplifying
6(p + 3) + -2(p + -1) = 16

Reorder the terms:
6(3 + p) + -2(p + -1) = 16
(3 * 6 + p * 6) + -2(p + -1) = 16
(18 + 6p) + -2(p + -1) = 16

Reorder the terms:
18 + 6p + -2(-1 + p) = 16
18 + 6p + (-1 * -2 + p * -2) = 16
18 + 6p + (2 + -2p) = 16

Reorder the terms:
18 + 2 + 6p + -2p = 16

Combine like terms: 18 + 2 = 20
20 + 6p + -2p = 16

Combine like terms: 6p + -2p = 4p
20 + 4p = 16

Solving
20 + 4p = 16

Solving for variable 'p'.

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

Add '-20' to each side of the equation.
20 + -20 + 4p = 16 + -20

Combine like terms: 20 + -20 = 0
0 + 4p = 16 + -20
4p = 16 + -20

Combine like terms: 16 + -20 = -4
4p = -4

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

Simplifying
p = -1

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