p+8(p-4)=18-p

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Solution for p+8(p-4)=18-p equation:


Simplifying
p + 8(p + -4) = 18 + -1p

Reorder the terms:
p + 8(-4 + p) = 18 + -1p
p + (-4 * 8 + p * 8) = 18 + -1p
p + (-32 + 8p) = 18 + -1p

Reorder the terms:
-32 + p + 8p = 18 + -1p

Combine like terms: p + 8p = 9p
-32 + 9p = 18 + -1p

Solving
-32 + 9p = 18 + -1p

Solving for variable 'p'.

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

Add 'p' to each side of the equation.
-32 + 9p + p = 18 + -1p + p

Combine like terms: 9p + p = 10p
-32 + 10p = 18 + -1p + p

Combine like terms: -1p + p = 0
-32 + 10p = 18 + 0
-32 + 10p = 18

Add '32' to each side of the equation.
-32 + 32 + 10p = 18 + 32

Combine like terms: -32 + 32 = 0
0 + 10p = 18 + 32
10p = 18 + 32

Combine like terms: 18 + 32 = 50
10p = 50

Divide each side by '10'.
p = 5

Simplifying
p = 5

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