6p-(10-3p)=8p+2(-2p+5)

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Solution for 6p-(10-3p)=8p+2(-2p+5) equation:


Simplifying
6p + -1(10 + -3p) = 8p + 2(-2p + 5)
6p + (10 * -1 + -3p * -1) = 8p + 2(-2p + 5)
6p + (-10 + 3p) = 8p + 2(-2p + 5)

Reorder the terms:
-10 + 6p + 3p = 8p + 2(-2p + 5)

Combine like terms: 6p + 3p = 9p
-10 + 9p = 8p + 2(-2p + 5)

Reorder the terms:
-10 + 9p = 8p + 2(5 + -2p)
-10 + 9p = 8p + (5 * 2 + -2p * 2)
-10 + 9p = 8p + (10 + -4p)

Reorder the terms:
-10 + 9p = 10 + 8p + -4p

Combine like terms: 8p + -4p = 4p
-10 + 9p = 10 + 4p

Solving
-10 + 9p = 10 + 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 + 9p + -4p = 10 + 4p + -4p

Combine like terms: 9p + -4p = 5p
-10 + 5p = 10 + 4p + -4p

Combine like terms: 4p + -4p = 0
-10 + 5p = 10 + 0
-10 + 5p = 10

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

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

Combine like terms: 10 + 10 = 20
5p = 20

Divide each side by '5'.
p = 4

Simplifying
p = 4

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