0.65(p-10)+0.35(p+2)=-2.8

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Solution for 0.65(p-10)+0.35(p+2)=-2.8 equation: 


Simplifying
0.65(p + -10) + 0.35(p + 2) = -2.8

Reorder the terms:
0.65(-10 + p) + 0.35(p + 2) = -2.8
(-10 * 0.65 + p * 0.65) + 0.35(p + 2) = -2.8
(-6.5 + 0.65p) + 0.35(p + 2) = -2.8

Reorder the terms:
-6.5 + 0.65p + 0.35(2 + p) = -2.8
-6.5 + 0.65p + (2 * 0.35 + p * 0.35) = -2.8
-6.5 + 0.65p + (0.7 + 0.35p) = -2.8

Reorder the terms:
-6.5 + 0.7 + 0.65p + 0.35p = -2.8

Combine like terms: -6.5 + 0.7 = -5.8
-5.8 + 0.65p + 0.35p = -2.8

Combine like terms: 0.65p + 0.35p = 1p
-5.8 + 1p = -2.8

Solving
-5.8 + 1p = -2.8

Solving for variable 'p'.

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

Add '5.8' to each side of the equation.
-5.8 + 5.8 + 1p = -2.8 + 5.8

Combine like terms: -5.8 + 5.8 = 0.0
0.0 + 1p = -2.8 + 5.8
1p = -2.8 + 5.8

Combine like terms: -2.8 + 5.8 = 3
1p = 3

Divide each side by '1'.
p = 3

Simplifying
p = 3

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