p+4(2p-3)-(6+p)=46

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Solution for p+4(2p-3)-(6+p)=46 equation: 


Simplifying
p + 4(2p + -3) + -1(6 + p) = 46

Reorder the terms:
p + 4(-3 + 2p) + -1(6 + p) = 46
p + (-3 * 4 + 2p * 4) + -1(6 + p) = 46
p + (-12 + 8p) + -1(6 + p) = 46
p + -12 + 8p + (6 * -1 + p * -1) = 46
p + -12 + 8p + (-6 + -1p) = 46

Reorder the terms:
-12 + -6 + p + 8p + -1p = 46

Combine like terms: -12 + -6 = -18
-18 + p + 8p + -1p = 46

Combine like terms: p + 8p = 9p
-18 + 9p + -1p = 46

Combine like terms: 9p + -1p = 8p
-18 + 8p = 46

Solving
-18 + 8p = 46

Solving for variable 'p'.

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

Add '18' to each side of the equation.
-18 + 18 + 8p = 46 + 18

Combine like terms: -18 + 18 = 0
0 + 8p = 46 + 18
8p = 46 + 18

Combine like terms: 46 + 18 = 64
8p = 64

Divide each side by '8'.
p = 8

Simplifying
p = 8

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