5.4(2-p)=-1.4(p+2)

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Solution for 5.4(2-p)=-1.4(p+2) equation: 


Simplifying
5.4(2 + -1p) = -1.4(p + 2)
(2 * 5.4 + -1p * 5.4) = -1.4(p + 2)
(10.8 + -5.4p) = -1.4(p + 2)

Reorder the terms:
10.8 + -5.4p = -1.4(2 + p)
10.8 + -5.4p = (2 * -1.4 + p * -1.4)
10.8 + -5.4p = (-2.8 + -1.4p)

Solving
10.8 + -5.4p = -2.8 + -1.4p

Solving for variable 'p'.

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

Add '1.4p' to each side of the equation.
10.8 + -5.4p + 1.4p = -2.8 + -1.4p + 1.4p

Combine like terms: -5.4p + 1.4p = -4p
10.8 + -4p = -2.8 + -1.4p + 1.4p

Combine like terms: -1.4p + 1.4p = 0.0
10.8 + -4p = -2.8 + 0.0
10.8 + -4p = -2.8

Add '-10.8' to each side of the equation.
10.8 + -10.8 + -4p = -2.8 + -10.8

Combine like terms: 10.8 + -10.8 = 0.0
0.0 + -4p = -2.8 + -10.8
-4p = -2.8 + -10.8

Combine like terms: -2.8 + -10.8 = -13.6
-4p = -13.6

Divide each side by '-4'.
p = 3.4

Simplifying
p = 3.4

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