-6(3p+4)-20=4(5p+8)

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Solution for -6(3p+4)-20=4(5p+8) equation:


Simplifying
-6(3p + 4) + -20 = 4(5p + 8)

Reorder the terms:
-6(4 + 3p) + -20 = 4(5p + 8)
(4 * -6 + 3p * -6) + -20 = 4(5p + 8)
(-24 + -18p) + -20 = 4(5p + 8)

Reorder the terms:
-24 + -20 + -18p = 4(5p + 8)

Combine like terms: -24 + -20 = -44
-44 + -18p = 4(5p + 8)

Reorder the terms:
-44 + -18p = 4(8 + 5p)
-44 + -18p = (8 * 4 + 5p * 4)
-44 + -18p = (32 + 20p)

Solving
-44 + -18p = 32 + 20p

Solving for variable 'p'.

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

Add '-20p' to each side of the equation.
-44 + -18p + -20p = 32 + 20p + -20p

Combine like terms: -18p + -20p = -38p
-44 + -38p = 32 + 20p + -20p

Combine like terms: 20p + -20p = 0
-44 + -38p = 32 + 0
-44 + -38p = 32

Add '44' to each side of the equation.
-44 + 44 + -38p = 32 + 44

Combine like terms: -44 + 44 = 0
0 + -38p = 32 + 44
-38p = 32 + 44

Combine like terms: 32 + 44 = 76
-38p = 76

Divide each side by '-38'.
p = -2

Simplifying
p = -2

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