.14285714(14-7p)-2=-2(.5p+3)+6

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Solution for .14285714(14-7p)-2=-2(.5p+3)+6 equation: 


Simplifying
0.14285714(14 + -7p) + -2 = -2(0.5p + 3) + 6
(14 * 0.14285714 + -7p * 0.14285714) + -2 = -2(0.5p + 3) + 6
(1.99999996 + -0.99999998p) + -2 = -2(0.5p + 3) + 6

Reorder the terms:
1.99999996 + -2 + -0.99999998p = -2(0.5p + 3) + 6

Combine like terms: 1.99999996 + -2 = -0.00000004
-0.00000004 + -0.99999998p = -2(0.5p + 3) + 6

Reorder the terms:
-0.00000004 + -0.99999998p = -2(3 + 0.5p) + 6
-0.00000004 + -0.99999998p = (3 * -2 + 0.5p * -2) + 6
-0.00000004 + -0.99999998p = (-6 + -1p) + 6

Reorder the terms:
-0.00000004 + -0.99999998p = -6 + 6 + -1p

Combine like terms: -6 + 6 = 0
-0.00000004 + -0.99999998p = 0 + -1p
-0.00000004 + -0.99999998p = -1p

Solving
-0.00000004 + -0.99999998p = -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.
-0.00000004 + -0.99999998p + p = -1p + p

Combine like terms: -0.99999998p + p = 0.00000002p
-0.00000004 + 0.00000002p = -1p + p

Combine like terms: -1p + p = 0
-0.00000004 + 0.00000002p = 0

Add '0.00000004' to each side of the equation.
-0.00000004 + 0.00000004 + 0.00000002p = 0 + 0.00000004

Combine like terms: -0.00000004 + 0.00000004 = 0.00000000
0.00000000 + 0.00000002p = 0 + 0.00000004
0.00000002p = 0 + 0.00000004

Combine like terms: 0 + 0.00000004 = 0.00000004
0.00000002p = 0.00000004

Divide each side by '0.00000002'.
p = 2

Simplifying
p = 2

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