7.6(3-p)=-2.4(p+10)

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Solution for 7.6(3-p)=-2.4(p+10) equation: 


Simplifying
7.6(3 + -1p) = -2.4(p + 10)
(3 * 7.6 + -1p * 7.6) = -2.4(p + 10)
(22.8 + -7.6p) = -2.4(p + 10)

Reorder the terms:
22.8 + -7.6p = -2.4(10 + p)
22.8 + -7.6p = (10 * -2.4 + p * -2.4)
22.8 + -7.6p = (-24 + -2.4p)

Solving
22.8 + -7.6p = -24 + -2.4p

Solving for variable 'p'.

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

Add '2.4p' to each side of the equation.
22.8 + -7.6p + 2.4p = -24 + -2.4p + 2.4p

Combine like terms: -7.6p + 2.4p = -5.2p
22.8 + -5.2p = -24 + -2.4p + 2.4p

Combine like terms: -2.4p + 2.4p = 0.0
22.8 + -5.2p = -24 + 0.0
22.8 + -5.2p = -24

Add '-22.8' to each side of the equation.
22.8 + -22.8 + -5.2p = -24 + -22.8

Combine like terms: 22.8 + -22.8 = 0.0
0.0 + -5.2p = -24 + -22.8
-5.2p = -24 + -22.8

Combine like terms: -24 + -22.8 = -46.8
-5.2p = -46.8

Divide each side by '-5.2'.
p = 9

Simplifying
p = 9

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