-6(4p+4)-40=4(3p+2)

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Solution for -6(4p+4)-40=4(3p+2) equation:


Simplifying
-6(4p + 4) + -40 = 4(3p + 2)

Reorder the terms:
-6(4 + 4p) + -40 = 4(3p + 2)
(4 * -6 + 4p * -6) + -40 = 4(3p + 2)
(-24 + -24p) + -40 = 4(3p + 2)

Reorder the terms:
-24 + -40 + -24p = 4(3p + 2)

Combine like terms: -24 + -40 = -64
-64 + -24p = 4(3p + 2)

Reorder the terms:
-64 + -24p = 4(2 + 3p)
-64 + -24p = (2 * 4 + 3p * 4)
-64 + -24p = (8 + 12p)

Solving
-64 + -24p = 8 + 12p

Solving for variable 'p'.

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

Add '-12p' to each side of the equation.
-64 + -24p + -12p = 8 + 12p + -12p

Combine like terms: -24p + -12p = -36p
-64 + -36p = 8 + 12p + -12p

Combine like terms: 12p + -12p = 0
-64 + -36p = 8 + 0
-64 + -36p = 8

Add '64' to each side of the equation.
-64 + 64 + -36p = 8 + 64

Combine like terms: -64 + 64 = 0
0 + -36p = 8 + 64
-36p = 8 + 64

Combine like terms: 8 + 64 = 72
-36p = 72

Divide each side by '-36'.
p = -2

Simplifying
p = -2

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