-5(4p+2)-3(1-p)=3(3p+2)-3

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Solution for -5(4p+2)-3(1-p)=3(3p+2)-3 equation:


Simplifying
-5(4p + 2) + -3(1 + -1p) = 3(3p + 2) + -3

Reorder the terms:
-5(2 + 4p) + -3(1 + -1p) = 3(3p + 2) + -3
(2 * -5 + 4p * -5) + -3(1 + -1p) = 3(3p + 2) + -3
(-10 + -20p) + -3(1 + -1p) = 3(3p + 2) + -3
-10 + -20p + (1 * -3 + -1p * -3) = 3(3p + 2) + -3
-10 + -20p + (-3 + 3p) = 3(3p + 2) + -3

Reorder the terms:
-10 + -3 + -20p + 3p = 3(3p + 2) + -3

Combine like terms: -10 + -3 = -13
-13 + -20p + 3p = 3(3p + 2) + -3

Combine like terms: -20p + 3p = -17p
-13 + -17p = 3(3p + 2) + -3

Reorder the terms:
-13 + -17p = 3(2 + 3p) + -3
-13 + -17p = (2 * 3 + 3p * 3) + -3
-13 + -17p = (6 + 9p) + -3

Reorder the terms:
-13 + -17p = 6 + -3 + 9p

Combine like terms: 6 + -3 = 3
-13 + -17p = 3 + 9p

Solving
-13 + -17p = 3 + 9p

Solving for variable 'p'.

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

Add '-9p' to each side of the equation.
-13 + -17p + -9p = 3 + 9p + -9p

Combine like terms: -17p + -9p = -26p
-13 + -26p = 3 + 9p + -9p

Combine like terms: 9p + -9p = 0
-13 + -26p = 3 + 0
-13 + -26p = 3

Add '13' to each side of the equation.
-13 + 13 + -26p = 3 + 13

Combine like terms: -13 + 13 = 0
0 + -26p = 3 + 13
-26p = 3 + 13

Combine like terms: 3 + 13 = 16
-26p = 16

Divide each side by '-26'.
p = -0.6153846154

Simplifying
p = -0.6153846154

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