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

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


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

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

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

Reorder the terms:
3 + 1p = 7 + 3p + -7p

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

Solving
3 + 1p = 7 + -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.
3 + 1p + 4p = 7 + -4p + 4p

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

Combine like terms: -4p + 4p = 0
3 + 5p = 7 + 0
3 + 5p = 7

Add '-3' to each side of the equation.
3 + -3 + 5p = 7 + -3

Combine like terms: 3 + -3 = 0
0 + 5p = 7 + -3
5p = 7 + -3

Combine like terms: 7 + -3 = 4
5p = 4

Divide each side by '5'.
p = 0.8

Simplifying
p = 0.8

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