10p-2(3p+2)=-2(6)+16

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Solution for 10p-2(3p+2)=-2(6)+16 equation:


Simplifying
10p + -2(3p + 2) = -2(6) + 16

Reorder the terms:
10p + -2(2 + 3p) = -2(6) + 16
10p + (2 * -2 + 3p * -2) = -2(6) + 16
10p + (-4 + -6p) = -2(6) + 16

Reorder the terms:
-4 + 10p + -6p = -2(6) + 16

Combine like terms: 10p + -6p = 4p
-4 + 4p = -2(6) + 16

Multiply -2 * 6
-4 + 4p = -12 + 16

Combine like terms: -12 + 16 = 4
-4 + 4p = 4

Solving
-4 + 4p = 4

Solving for variable 'p'.

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

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

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

Combine like terms: 4 + 4 = 8
4p = 8

Divide each side by '4'.
p = 2

Simplifying
p = 2

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