-4(4p+2)-43=3(2p+5)

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Solution for -4(4p+2)-43=3(2p+5) equation: 


Simplifying
-4(4p + 2) + -43 = 3(2p + 5)

Reorder the terms:
-4(2 + 4p) + -43 = 3(2p + 5)
(2 * -4 + 4p * -4) + -43 = 3(2p + 5)
(-8 + -16p) + -43 = 3(2p + 5)

Reorder the terms:
-8 + -43 + -16p = 3(2p + 5)

Combine like terms: -8 + -43 = -51
-51 + -16p = 3(2p + 5)

Reorder the terms:
-51 + -16p = 3(5 + 2p)
-51 + -16p = (5 * 3 + 2p * 3)
-51 + -16p = (15 + 6p)

Solving
-51 + -16p = 15 + 6p

Solving for variable 'p'.

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

Add '-6p' to each side of the equation.
-51 + -16p + -6p = 15 + 6p + -6p

Combine like terms: -16p + -6p = -22p
-51 + -22p = 15 + 6p + -6p

Combine like terms: 6p + -6p = 0
-51 + -22p = 15 + 0
-51 + -22p = 15

Add '51' to each side of the equation.
-51 + 51 + -22p = 15 + 51

Combine like terms: -51 + 51 = 0
0 + -22p = 15 + 51
-22p = 15 + 51

Combine like terms: 15 + 51 = 66
-22p = 66

Divide each side by '-22'.
p = -3

Simplifying
p = -3

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