3p-3(3-4p)=5(p-4)-13

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Solution for 3p-3(3-4p)=5(p-4)-13 equation:


Simplifying
3p + -3(3 + -4p) = 5(p + -4) + -13
3p + (3 * -3 + -4p * -3) = 5(p + -4) + -13
3p + (-9 + 12p) = 5(p + -4) + -13

Reorder the terms:
-9 + 3p + 12p = 5(p + -4) + -13

Combine like terms: 3p + 12p = 15p
-9 + 15p = 5(p + -4) + -13

Reorder the terms:
-9 + 15p = 5(-4 + p) + -13
-9 + 15p = (-4 * 5 + p * 5) + -13
-9 + 15p = (-20 + 5p) + -13

Reorder the terms:
-9 + 15p = -20 + -13 + 5p

Combine like terms: -20 + -13 = -33
-9 + 15p = -33 + 5p

Solving
-9 + 15p = -33 + 5p

Solving for variable 'p'.

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

Add '-5p' to each side of the equation.
-9 + 15p + -5p = -33 + 5p + -5p

Combine like terms: 15p + -5p = 10p
-9 + 10p = -33 + 5p + -5p

Combine like terms: 5p + -5p = 0
-9 + 10p = -33 + 0
-9 + 10p = -33

Add '9' to each side of the equation.
-9 + 9 + 10p = -33 + 9

Combine like terms: -9 + 9 = 0
0 + 10p = -33 + 9
10p = -33 + 9

Combine like terms: -33 + 9 = -24
10p = -24

Divide each side by '10'.
p = -2.4

Simplifying
p = -2.4

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