5(p-6)-(p+2)=16

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Solution for 5(p-6)-(p+2)=16 equation:


Simplifying
5(p + -6) + -1(p + 2) = 16

Reorder the terms:
5(-6 + p) + -1(p + 2) = 16
(-6 * 5 + p * 5) + -1(p + 2) = 16
(-30 + 5p) + -1(p + 2) = 16

Reorder the terms:
-30 + 5p + -1(2 + p) = 16
-30 + 5p + (2 * -1 + p * -1) = 16
-30 + 5p + (-2 + -1p) = 16

Reorder the terms:
-30 + -2 + 5p + -1p = 16

Combine like terms: -30 + -2 = -32
-32 + 5p + -1p = 16

Combine like terms: 5p + -1p = 4p
-32 + 4p = 16

Solving
-32 + 4p = 16

Solving for variable 'p'.

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

Add '32' to each side of the equation.
-32 + 32 + 4p = 16 + 32

Combine like terms: -32 + 32 = 0
0 + 4p = 16 + 32
4p = 16 + 32

Combine like terms: 16 + 32 = 48
4p = 48

Divide each side by '4'.
p = 12

Simplifying
p = 12

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