13+3(p-3)-5(2-p)=0

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Solution for 13+3(p-3)-5(2-p)=0 equation:


Simplifying
13 + 3(p + -3) + -5(2 + -1p) = 0

Reorder the terms:
13 + 3(-3 + p) + -5(2 + -1p) = 0
13 + (-3 * 3 + p * 3) + -5(2 + -1p) = 0
13 + (-9 + 3p) + -5(2 + -1p) = 0
13 + -9 + 3p + (2 * -5 + -1p * -5) = 0
13 + -9 + 3p + (-10 + 5p) = 0

Reorder the terms:
13 + -9 + -10 + 3p + 5p = 0

Combine like terms: 13 + -9 = 4
4 + -10 + 3p + 5p = 0

Combine like terms: 4 + -10 = -6
-6 + 3p + 5p = 0

Combine like terms: 3p + 5p = 8p
-6 + 8p = 0

Solving
-6 + 8p = 0

Solving for variable 'p'.

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

Add '6' to each side of the equation.
-6 + 6 + 8p = 0 + 6

Combine like terms: -6 + 6 = 0
0 + 8p = 0 + 6
8p = 0 + 6

Combine like terms: 0 + 6 = 6
8p = 6

Divide each side by '8'.
p = 0.75

Simplifying
p = 0.75

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