4(3p+2)-5(6p-1)=2(p-8)-6(7p-4)

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Solution for 4(3p+2)-5(6p-1)=2(p-8)-6(7p-4) equation:


Simplifying
4(3p + 2) + -5(6p + -1) = 2(p + -8) + -6(7p + -4)

Reorder the terms:
4(2 + 3p) + -5(6p + -1) = 2(p + -8) + -6(7p + -4)
(2 * 4 + 3p * 4) + -5(6p + -1) = 2(p + -8) + -6(7p + -4)
(8 + 12p) + -5(6p + -1) = 2(p + -8) + -6(7p + -4)

Reorder the terms:
8 + 12p + -5(-1 + 6p) = 2(p + -8) + -6(7p + -4)
8 + 12p + (-1 * -5 + 6p * -5) = 2(p + -8) + -6(7p + -4)
8 + 12p + (5 + -30p) = 2(p + -8) + -6(7p + -4)

Reorder the terms:
8 + 5 + 12p + -30p = 2(p + -8) + -6(7p + -4)

Combine like terms: 8 + 5 = 13
13 + 12p + -30p = 2(p + -8) + -6(7p + -4)

Combine like terms: 12p + -30p = -18p
13 + -18p = 2(p + -8) + -6(7p + -4)

Reorder the terms:
13 + -18p = 2(-8 + p) + -6(7p + -4)
13 + -18p = (-8 * 2 + p * 2) + -6(7p + -4)
13 + -18p = (-16 + 2p) + -6(7p + -4)

Reorder the terms:
13 + -18p = -16 + 2p + -6(-4 + 7p)
13 + -18p = -16 + 2p + (-4 * -6 + 7p * -6)
13 + -18p = -16 + 2p + (24 + -42p)

Reorder the terms:
13 + -18p = -16 + 24 + 2p + -42p

Combine like terms: -16 + 24 = 8
13 + -18p = 8 + 2p + -42p

Combine like terms: 2p + -42p = -40p
13 + -18p = 8 + -40p

Solving
13 + -18p = 8 + -40p

Solving for variable 'p'.

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

Add '40p' to each side of the equation.
13 + -18p + 40p = 8 + -40p + 40p

Combine like terms: -18p + 40p = 22p
13 + 22p = 8 + -40p + 40p

Combine like terms: -40p + 40p = 0
13 + 22p = 8 + 0
13 + 22p = 8

Add '-13' to each side of the equation.
13 + -13 + 22p = 8 + -13

Combine like terms: 13 + -13 = 0
0 + 22p = 8 + -13
22p = 8 + -13

Combine like terms: 8 + -13 = -5
22p = -5

Divide each side by '22'.
p = -0.2272727273

Simplifying
p = -0.2272727273

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