.142857143(14-7p)-2=-2(.5p+3)+6

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Solution for .142857143(14-7p)-2=-2(.5p+3)+6 equation: 


Simplifying
0.142857143(14 + -7p) + -2 = -2(0.5p + 3) + 6
(14 * 0.142857143 + -7p * 0.142857143) + -2 = -2(0.5p + 3) + 6
(2.000000002 + -1.000000001p) + -2 = -2(0.5p + 3) + 6

Reorder the terms:
2.000000002 + -2 + -1.000000001p = -2(0.5p + 3) + 6

Combine like terms: 2.000000002 + -2 = 0.000000002
0.000000002 + -1.000000001p = -2(0.5p + 3) + 6

Reorder the terms:
0.000000002 + -1.000000001p = -2(3 + 0.5p) + 6
0.000000002 + -1.000000001p = (3 * -2 + 0.5p * -2) + 6
0.000000002 + -1.000000001p = (-6 + -1p) + 6

Reorder the terms:
0.000000002 + -1.000000001p = -6 + 6 + -1p

Combine like terms: -6 + 6 = 0
0.000000002 + -1.000000001p = 0 + -1p
0.000000002 + -1.000000001p = -1p

Solving
0.000000002 + -1.000000001p = -1p

Solving for variable 'p'.

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

Add 'p' to each side of the equation.
0.000000002 + -1.000000001p + p = -1p + p

Combine like terms: -1.000000001p + p = -0.000000001p
0.000000002 + -0.000000001p = -1p + p

Combine like terms: -1p + p = 0
0.000000002 + -0.000000001p = 0

Add '-0.000000002' to each side of the equation.
0.000000002 + -0.000000002 + -0.000000001p = 0 + -0.000000002

Combine like terms: 0.000000002 + -0.000000002 = 0.000000000
0.000000000 + -0.000000001p = 0 + -0.000000002
-0.000000001p = 0 + -0.000000002

Combine like terms: 0 + -0.000000002 = -0.000000002
-0.000000001p = -0.000000002

Divide each side by '-0.000000001'.
p = 2

Simplifying
p = 2

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