1-19.758+5.1p=3.2(3.1p-0.3)

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Solution for 1-19.758+5.1p=3.2(3.1p-0.3) equation: 


Simplifying
1 + -19.758 + 5.1p = 3.2(3.1p + -0.3)

Combine like terms: 1 + -19.758 = -18.758
-18.758 + 5.1p = 3.2(3.1p + -0.3)

Reorder the terms:
-18.758 + 5.1p = 3.2(-0.3 + 3.1p)
-18.758 + 5.1p = (-0.3 * 3.2 + 3.1p * 3.2)
-18.758 + 5.1p = (-0.96 + 9.92p)

Solving
-18.758 + 5.1p = -0.96 + 9.92p

Solving for variable 'p'.

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

Add '-9.92p' to each side of the equation.
-18.758 + 5.1p + -9.92p = -0.96 + 9.92p + -9.92p

Combine like terms: 5.1p + -9.92p = -4.82p
-18.758 + -4.82p = -0.96 + 9.92p + -9.92p

Combine like terms: 9.92p + -9.92p = 0.00
-18.758 + -4.82p = -0.96 + 0.00
-18.758 + -4.82p = -0.96

Add '18.758' to each side of the equation.
-18.758 + 18.758 + -4.82p = -0.96 + 18.758

Combine like terms: -18.758 + 18.758 = 0.000
0.000 + -4.82p = -0.96 + 18.758
-4.82p = -0.96 + 18.758

Combine like terms: -0.96 + 18.758 = 17.798
-4.82p = 17.798

Divide each side by '-4.82'.
p = -3.69253112

Simplifying
p = -3.69253112

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