4(9p+8)=-2(6p-56)

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Solution for 4(9p+8)=-2(6p-56) equation:


Simplifying
4(9p + 8) = -2(6p + -56)

Reorder the terms:
4(8 + 9p) = -2(6p + -56)
(8 * 4 + 9p * 4) = -2(6p + -56)
(32 + 36p) = -2(6p + -56)

Reorder the terms:
32 + 36p = -2(-56 + 6p)
32 + 36p = (-56 * -2 + 6p * -2)
32 + 36p = (112 + -12p)

Solving
32 + 36p = 112 + -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.
32 + 36p + 12p = 112 + -12p + 12p

Combine like terms: 36p + 12p = 48p
32 + 48p = 112 + -12p + 12p

Combine like terms: -12p + 12p = 0
32 + 48p = 112 + 0
32 + 48p = 112

Add '-32' to each side of the equation.
32 + -32 + 48p = 112 + -32

Combine like terms: 32 + -32 = 0
0 + 48p = 112 + -32
48p = 112 + -32

Combine like terms: 112 + -32 = 80
48p = 80

Divide each side by '48'.
p = 1.666666667

Simplifying
p = 1.666666667

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