3(1+2p)+7=-4(p+2)

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Solution for 3(1+2p)+7=-4(p+2) equation: 


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

Reorder the terms:
3 + 7 + 6p = -4(p + 2)

Combine like terms: 3 + 7 = 10
10 + 6p = -4(p + 2)

Reorder the terms:
10 + 6p = -4(2 + p)
10 + 6p = (2 * -4 + p * -4)
10 + 6p = (-8 + -4p)

Solving
10 + 6p = -8 + -4p

Solving for variable 'p'.

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

Add '4p' to each side of the equation.
10 + 6p + 4p = -8 + -4p + 4p

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

Combine like terms: -4p + 4p = 0
10 + 10p = -8 + 0
10 + 10p = -8

Add '-10' to each side of the equation.
10 + -10 + 10p = -8 + -10

Combine like terms: 10 + -10 = 0
0 + 10p = -8 + -10
10p = -8 + -10

Combine like terms: -8 + -10 = -18
10p = -18

Divide each side by '10'.
p = -1.8

Simplifying
p = -1.8

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