-4(5p+3)-38=5(3p+4)

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Solution for -4(5p+3)-38=5(3p+4) equation:


Simplifying
-4(5p + 3) + -38 = 5(3p + 4)

Reorder the terms:
-4(3 + 5p) + -38 = 5(3p + 4)
(3 * -4 + 5p * -4) + -38 = 5(3p + 4)
(-12 + -20p) + -38 = 5(3p + 4)

Reorder the terms:
-12 + -38 + -20p = 5(3p + 4)

Combine like terms: -12 + -38 = -50
-50 + -20p = 5(3p + 4)

Reorder the terms:
-50 + -20p = 5(4 + 3p)
-50 + -20p = (4 * 5 + 3p * 5)
-50 + -20p = (20 + 15p)

Solving
-50 + -20p = 20 + 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.
-50 + -20p + -15p = 20 + 15p + -15p

Combine like terms: -20p + -15p = -35p
-50 + -35p = 20 + 15p + -15p

Combine like terms: 15p + -15p = 0
-50 + -35p = 20 + 0
-50 + -35p = 20

Add '50' to each side of the equation.
-50 + 50 + -35p = 20 + 50

Combine like terms: -50 + 50 = 0
0 + -35p = 20 + 50
-35p = 20 + 50

Combine like terms: 20 + 50 = 70
-35p = 70

Divide each side by '-35'.
p = -2

Simplifying
p = -2

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