.7(3p+2)=2(.2p-1)

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Solution for .7(3p+2)=2(.2p-1) equation: 


Simplifying
0.7(3p + 2) = 2(0.2p + -1)

Reorder the terms:
0.7(2 + 3p) = 2(0.2p + -1)
(2 * 0.7 + 3p * 0.7) = 2(0.2p + -1)
(1.4 + 2.1p) = 2(0.2p + -1)

Reorder the terms:
1.4 + 2.1p = 2(-1 + 0.2p)
1.4 + 2.1p = (-1 * 2 + 0.2p * 2)
1.4 + 2.1p = (-2 + 0.4p)

Solving
1.4 + 2.1p = -2 + 0.4p

Solving for variable 'p'.

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

Add '-0.4p' to each side of the equation.
1.4 + 2.1p + -0.4p = -2 + 0.4p + -0.4p

Combine like terms: 2.1p + -0.4p = 1.7p
1.4 + 1.7p = -2 + 0.4p + -0.4p

Combine like terms: 0.4p + -0.4p = 0.0
1.4 + 1.7p = -2 + 0.0
1.4 + 1.7p = -2

Add '-1.4' to each side of the equation.
1.4 + -1.4 + 1.7p = -2 + -1.4

Combine like terms: 1.4 + -1.4 = 0.0
0.0 + 1.7p = -2 + -1.4
1.7p = -2 + -1.4

Combine like terms: -2 + -1.4 = -3.4
1.7p = -3.4

Divide each side by '1.7'.
p = -2

Simplifying
p = -2

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