5(-6+2p)+4(5-p)=5-4p+5p

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Solution for 5(-6+2p)+4(5-p)=5-4p+5p equation: 


Simplifying
5(-6 + 2p) + 4(5 + -1p) = 5 + -4p + 5p
(-6 * 5 + 2p * 5) + 4(5 + -1p) = 5 + -4p + 5p
(-30 + 10p) + 4(5 + -1p) = 5 + -4p + 5p
-30 + 10p + (5 * 4 + -1p * 4) = 5 + -4p + 5p
-30 + 10p + (20 + -4p) = 5 + -4p + 5p

Reorder the terms:
-30 + 20 + 10p + -4p = 5 + -4p + 5p

Combine like terms: -30 + 20 = -10
-10 + 10p + -4p = 5 + -4p + 5p

Combine like terms: 10p + -4p = 6p
-10 + 6p = 5 + -4p + 5p

Combine like terms: -4p + 5p = 1p
-10 + 6p = 5 + 1p

Solving
-10 + 6p = 5 + 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.
-10 + 6p + -1p = 5 + 1p + -1p

Combine like terms: 6p + -1p = 5p
-10 + 5p = 5 + 1p + -1p

Combine like terms: 1p + -1p = 0
-10 + 5p = 5 + 0
-10 + 5p = 5

Add '10' to each side of the equation.
-10 + 10 + 5p = 5 + 10

Combine like terms: -10 + 10 = 0
0 + 5p = 5 + 10
5p = 5 + 10

Combine like terms: 5 + 10 = 15
5p = 15

Divide each side by '5'.
p = 3

Simplifying
p = 3

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