5(4p+3)-37=3(5p+6)

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Solution for 5(4p+3)-37=3(5p+6) equation:


Simplifying
5(4p + 3) + -37 = 3(5p + 6)

Reorder the terms:
5(3 + 4p) + -37 = 3(5p + 6)
(3 * 5 + 4p * 5) + -37 = 3(5p + 6)
(15 + 20p) + -37 = 3(5p + 6)

Reorder the terms:
15 + -37 + 20p = 3(5p + 6)

Combine like terms: 15 + -37 = -22
-22 + 20p = 3(5p + 6)

Reorder the terms:
-22 + 20p = 3(6 + 5p)
-22 + 20p = (6 * 3 + 5p * 3)
-22 + 20p = (18 + 15p)

Solving
-22 + 20p = 18 + 15p

Solving for variable 'p'.

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

Add '-15p' to each side of the equation.
-22 + 20p + -15p = 18 + 15p + -15p

Combine like terms: 20p + -15p = 5p
-22 + 5p = 18 + 15p + -15p

Combine like terms: 15p + -15p = 0
-22 + 5p = 18 + 0
-22 + 5p = 18

Add '22' to each side of the equation.
-22 + 22 + 5p = 18 + 22

Combine like terms: -22 + 22 = 0
0 + 5p = 18 + 22
5p = 18 + 22

Combine like terms: 18 + 22 = 40
5p = 40

Divide each side by '5'.
p = 8

Simplifying
p = 8

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