0.03p+0.05(1300-p)=75

Solution for 0.03p+0.05(1300-p)=75 equation:

Simplifying
0.03p + 0.05(1300 + -1p) = 75
0.03p + (1300 * 0.05 + -1p * 0.05) = 75
0.03p + (65 + -0.05p) = 75

Reorder the terms:
65 + 0.03p + -0.05p = 75

Combine like terms: 0.03p + -0.05p = -0.02p
65 + -0.02p = 75

Solving
65 + -0.02p = 75

Solving for variable 'p'.

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

Add '-65' to each side of the equation.
65 + -65 + -0.02p = 75 + -65

Combine like terms: 65 + -65 = 0
0 + -0.02p = 75 + -65
-0.02p = 75 + -65

Combine like terms: 75 + -65 = 10
-0.02p = 10

Divide each side by '-0.02'.
p = -500

Simplifying
p = -500