9-(8p-5)+4p=6(2p+1)

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Solution for 9-(8p-5)+4p=6(2p+1) equation:


Simplifying
9 + -1(8p + -5) + 4p = 6(2p + 1)

Reorder the terms:
9 + -1(-5 + 8p) + 4p = 6(2p + 1)
9 + (-5 * -1 + 8p * -1) + 4p = 6(2p + 1)
9 + (5 + -8p) + 4p = 6(2p + 1)

Combine like terms: 9 + 5 = 14
14 + -8p + 4p = 6(2p + 1)

Combine like terms: -8p + 4p = -4p
14 + -4p = 6(2p + 1)

Reorder the terms:
14 + -4p = 6(1 + 2p)
14 + -4p = (1 * 6 + 2p * 6)
14 + -4p = (6 + 12p)

Solving
14 + -4p = 6 + 12p

Solving for variable 'p'.

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

Add '-12p' to each side of the equation.
14 + -4p + -12p = 6 + 12p + -12p

Combine like terms: -4p + -12p = -16p
14 + -16p = 6 + 12p + -12p

Combine like terms: 12p + -12p = 0
14 + -16p = 6 + 0
14 + -16p = 6

Add '-14' to each side of the equation.
14 + -14 + -16p = 6 + -14

Combine like terms: 14 + -14 = 0
0 + -16p = 6 + -14
-16p = 6 + -14

Combine like terms: 6 + -14 = -8
-16p = -8

Divide each side by '-16'.
p = 0.5

Simplifying
p = 0.5

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