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

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


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

Reorder the terms:
7 + -1(3 + 4p) = 3(p + 2) + -1(2p + 3)
7 + (3 * -1 + 4p * -1) = 3(p + 2) + -1(2p + 3)
7 + (-3 + -4p) = 3(p + 2) + -1(2p + 3)

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

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

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

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

Combine like terms: 6 + -3 = 3
4 + -4p = 3 + 3p + -2p

Combine like terms: 3p + -2p = 1p
4 + -4p = 3 + 1p

Solving
4 + -4p = 3 + 1p

Solving for variable 'p'.

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

Add '-1p' to each side of the equation.
4 + -4p + -1p = 3 + 1p + -1p

Combine like terms: -4p + -1p = -5p
4 + -5p = 3 + 1p + -1p

Combine like terms: 1p + -1p = 0
4 + -5p = 3 + 0
4 + -5p = 3

Add '-4' to each side of the equation.
4 + -4 + -5p = 3 + -4

Combine like terms: 4 + -4 = 0
0 + -5p = 3 + -4
-5p = 3 + -4

Combine like terms: 3 + -4 = -1
-5p = -1

Divide each side by '-5'.
p = 0.2

Simplifying
p = 0.2

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