2(1-2p)-3=5(p+3)+7p

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Solution for 2(1-2p)-3=5(p+3)+7p equation: 


Simplifying
2(1 + -2p) + -3 = 5(p + 3) + 7p
(1 * 2 + -2p * 2) + -3 = 5(p + 3) + 7p
(2 + -4p) + -3 = 5(p + 3) + 7p

Reorder the terms:
2 + -3 + -4p = 5(p + 3) + 7p

Combine like terms: 2 + -3 = -1
-1 + -4p = 5(p + 3) + 7p

Reorder the terms:
-1 + -4p = 5(3 + p) + 7p
-1 + -4p = (3 * 5 + p * 5) + 7p
-1 + -4p = (15 + 5p) + 7p

Combine like terms: 5p + 7p = 12p
-1 + -4p = 15 + 12p

Solving
-1 + -4p = 15 + 12p

Solving for variable 'p'.

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

Add '-12p' to each side of the equation.
-1 + -4p + -12p = 15 + 12p + -12p

Combine like terms: -4p + -12p = -16p
-1 + -16p = 15 + 12p + -12p

Combine like terms: 12p + -12p = 0
-1 + -16p = 15 + 0
-1 + -16p = 15

Add '1' to each side of the equation.
-1 + 1 + -16p = 15 + 1

Combine like terms: -1 + 1 = 0
0 + -16p = 15 + 1
-16p = 15 + 1

Combine like terms: 15 + 1 = 16
-16p = 16

Divide each side by '-16'.
p = -1

Simplifying
p = -1

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