3.6-4(.7p-15)=2.2p-14

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Solution for 3.6-4(.7p-15)=2.2p-14 equation:


Simplifying
3.6 + -4(0.7p + -15) = 2.2p + -14

Reorder the terms:
3.6 + -4(-15 + 0.7p) = 2.2p + -14
3.6 + (-15 * -4 + 0.7p * -4) = 2.2p + -14
3.6 + (60 + -2.8p) = 2.2p + -14

Combine like terms: 3.6 + 60 = 63.6
63.6 + -2.8p = 2.2p + -14

Reorder the terms:
63.6 + -2.8p = -14 + 2.2p

Solving
63.6 + -2.8p = -14 + 2.2p

Solving for variable 'p'.

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

Add '-2.2p' to each side of the equation.
63.6 + -2.8p + -2.2p = -14 + 2.2p + -2.2p

Combine like terms: -2.8p + -2.2p = -5p
63.6 + -5p = -14 + 2.2p + -2.2p

Combine like terms: 2.2p + -2.2p = 0.0
63.6 + -5p = -14 + 0.0
63.6 + -5p = -14

Add '-63.6' to each side of the equation.
63.6 + -63.6 + -5p = -14 + -63.6

Combine like terms: 63.6 + -63.6 = 0.0
0.0 + -5p = -14 + -63.6
-5p = -14 + -63.6

Combine like terms: -14 + -63.6 = -77.6
-5p = -77.6

Divide each side by '-5'.
p = 15.52

Simplifying
p = 15.52

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