7p-2(3-4p)=12p-(p+4)

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Solution for 7p-2(3-4p)=12p-(p+4) equation:


Simplifying
7p + -2(3 + -4p) = 12p + -1(p + 4)
7p + (3 * -2 + -4p * -2) = 12p + -1(p + 4)
7p + (-6 + 8p) = 12p + -1(p + 4)

Reorder the terms:
-6 + 7p + 8p = 12p + -1(p + 4)

Combine like terms: 7p + 8p = 15p
-6 + 15p = 12p + -1(p + 4)

Reorder the terms:
-6 + 15p = 12p + -1(4 + p)
-6 + 15p = 12p + (4 * -1 + p * -1)
-6 + 15p = 12p + (-4 + -1p)

Reorder the terms:
-6 + 15p = -4 + 12p + -1p

Combine like terms: 12p + -1p = 11p
-6 + 15p = -4 + 11p

Solving
-6 + 15p = -4 + 11p

Solving for variable 'p'.

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

Add '-11p' to each side of the equation.
-6 + 15p + -11p = -4 + 11p + -11p

Combine like terms: 15p + -11p = 4p
-6 + 4p = -4 + 11p + -11p

Combine like terms: 11p + -11p = 0
-6 + 4p = -4 + 0
-6 + 4p = -4

Add '6' to each side of the equation.
-6 + 6 + 4p = -4 + 6

Combine like terms: -6 + 6 = 0
0 + 4p = -4 + 6
4p = -4 + 6

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

Divide each side by '4'.
p = 0.5

Simplifying
p = 0.5

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