4(p+3)=2(3p-1)+10

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Solution for 4(p+3)=2(3p-1)+10 equation: 


Simplifying
4(p + 3) = 2(3p + -1) + 10

Reorder the terms:
4(3 + p) = 2(3p + -1) + 10
(3 * 4 + p * 4) = 2(3p + -1) + 10
(12 + 4p) = 2(3p + -1) + 10

Reorder the terms:
12 + 4p = 2(-1 + 3p) + 10
12 + 4p = (-1 * 2 + 3p * 2) + 10
12 + 4p = (-2 + 6p) + 10

Reorder the terms:
12 + 4p = -2 + 10 + 6p

Combine like terms: -2 + 10 = 8
12 + 4p = 8 + 6p

Solving
12 + 4p = 8 + 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 + 4p + -6p = 8 + 6p + -6p

Combine like terms: 4p + -6p = -2p
12 + -2p = 8 + 6p + -6p

Combine like terms: 6p + -6p = 0
12 + -2p = 8 + 0
12 + -2p = 8

Add '-12' to each side of the equation.
12 + -12 + -2p = 8 + -12

Combine like terms: 12 + -12 = 0
0 + -2p = 8 + -12
-2p = 8 + -12

Combine like terms: 8 + -12 = -4
-2p = -4

Divide each side by '-2'.
p = 2

Simplifying
p = 2

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