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

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


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

Reorder the terms:
2(3 + -8p) + 3 = -6 + -7(2p + -5)
(3 * 2 + -8p * 2) + 3 = -6 + -7(2p + -5)
(6 + -16p) + 3 = -6 + -7(2p + -5)

Reorder the terms:
6 + 3 + -16p = -6 + -7(2p + -5)

Combine like terms: 6 + 3 = 9
9 + -16p = -6 + -7(2p + -5)

Reorder the terms:
9 + -16p = -6 + -7(-5 + 2p)
9 + -16p = -6 + (-5 * -7 + 2p * -7)
9 + -16p = -6 + (35 + -14p)

Combine like terms: -6 + 35 = 29
9 + -16p = 29 + -14p

Solving
9 + -16p = 29 + -14p

Solving for variable 'p'.

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

Add '14p' to each side of the equation.
9 + -16p + 14p = 29 + -14p + 14p

Combine like terms: -16p + 14p = -2p
9 + -2p = 29 + -14p + 14p

Combine like terms: -14p + 14p = 0
9 + -2p = 29 + 0
9 + -2p = 29

Add '-9' to each side of the equation.
9 + -9 + -2p = 29 + -9

Combine like terms: 9 + -9 = 0
0 + -2p = 29 + -9
-2p = 29 + -9

Combine like terms: 29 + -9 = 20
-2p = 20

Divide each side by '-2'.
p = -10

Simplifying
p = -10

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