4(1-p)+3(p+5)=8

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Solution for 4(1-p)+3(p+5)=8 equation: 


Simplifying
4(1 + -1p) + 3(p + 5) = 8
(1 * 4 + -1p * 4) + 3(p + 5) = 8
(4 + -4p) + 3(p + 5) = 8

Reorder the terms:
4 + -4p + 3(5 + p) = 8
4 + -4p + (5 * 3 + p * 3) = 8
4 + -4p + (15 + 3p) = 8

Reorder the terms:
4 + 15 + -4p + 3p = 8

Combine like terms: 4 + 15 = 19
19 + -4p + 3p = 8

Combine like terms: -4p + 3p = -1p
19 + -1p = 8

Solving
19 + -1p = 8

Solving for variable 'p'.

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

Add '-19' to each side of the equation.
19 + -19 + -1p = 8 + -19

Combine like terms: 19 + -19 = 0
0 + -1p = 8 + -19
-1p = 8 + -19

Combine like terms: 8 + -19 = -11
-1p = -11

Divide each side by '-1'.
p = 11

Simplifying
p = 11

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