.58p+.95(1-p)=.93p+.7(1-p)

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Solution for .58p+.95(1-p)=.93p+.7(1-p) equation:


Simplifying
0.58p + 0.95(1 + -1p) = 0.93p + 0.7(1 + -1p)
0.58p + (1 * 0.95 + -1p * 0.95) = 0.93p + 0.7(1 + -1p)
0.58p + (0.95 + -0.95p) = 0.93p + 0.7(1 + -1p)

Reorder the terms:
0.95 + 0.58p + -0.95p = 0.93p + 0.7(1 + -1p)

Combine like terms: 0.58p + -0.95p = -0.37p
0.95 + -0.37p = 0.93p + 0.7(1 + -1p)
0.95 + -0.37p = 0.93p + (1 * 0.7 + -1p * 0.7)
0.95 + -0.37p = 0.93p + (0.7 + -0.7p)

Reorder the terms:
0.95 + -0.37p = 0.7 + 0.93p + -0.7p

Combine like terms: 0.93p + -0.7p = 0.23p
0.95 + -0.37p = 0.7 + 0.23p

Solving
0.95 + -0.37p = 0.7 + 0.23p

Solving for variable 'p'.

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

Add '-0.23p' to each side of the equation.
0.95 + -0.37p + -0.23p = 0.7 + 0.23p + -0.23p

Combine like terms: -0.37p + -0.23p = -0.6p
0.95 + -0.6p = 0.7 + 0.23p + -0.23p

Combine like terms: 0.23p + -0.23p = 0.00
0.95 + -0.6p = 0.7 + 0.00
0.95 + -0.6p = 0.7

Add '-0.95' to each side of the equation.
0.95 + -0.95 + -0.6p = 0.7 + -0.95

Combine like terms: 0.95 + -0.95 = 0.00
0.00 + -0.6p = 0.7 + -0.95
-0.6p = 0.7 + -0.95

Combine like terms: 0.7 + -0.95 = -0.25
-0.6p = -0.25

Divide each side by '-0.6'.
p = 0.4166666667

Simplifying
p = 0.4166666667

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