6(p-4)+6=4p+46

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Solution for 6(p-4)+6=4p+46 equation:


Simplifying
6(p + -4) + 6 = 4p + 46

Reorder the terms:
6(-4 + p) + 6 = 4p + 46
(-4 * 6 + p * 6) + 6 = 4p + 46
(-24 + 6p) + 6 = 4p + 46

Reorder the terms:
-24 + 6 + 6p = 4p + 46

Combine like terms: -24 + 6 = -18
-18 + 6p = 4p + 46

Reorder the terms:
-18 + 6p = 46 + 4p

Solving
-18 + 6p = 46 + 4p

Solving for variable 'p'.

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

Add '-4p' to each side of the equation.
-18 + 6p + -4p = 46 + 4p + -4p

Combine like terms: 6p + -4p = 2p
-18 + 2p = 46 + 4p + -4p

Combine like terms: 4p + -4p = 0
-18 + 2p = 46 + 0
-18 + 2p = 46

Add '18' to each side of the equation.
-18 + 18 + 2p = 46 + 18

Combine like terms: -18 + 18 = 0
0 + 2p = 46 + 18
2p = 46 + 18

Combine like terms: 46 + 18 = 64
2p = 64

Divide each side by '2'.
p = 32

Simplifying
p = 32

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