-28p-6(4-6p)=3(p-4)-22

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Solution for -28p-6(4-6p)=3(p-4)-22 equation:


Simplifying
-28p + -6(4 + -6p) = 3(p + -4) + -22
-28p + (4 * -6 + -6p * -6) = 3(p + -4) + -22
-28p + (-24 + 36p) = 3(p + -4) + -22

Reorder the terms:
-24 + -28p + 36p = 3(p + -4) + -22

Combine like terms: -28p + 36p = 8p
-24 + 8p = 3(p + -4) + -22

Reorder the terms:
-24 + 8p = 3(-4 + p) + -22
-24 + 8p = (-4 * 3 + p * 3) + -22
-24 + 8p = (-12 + 3p) + -22

Reorder the terms:
-24 + 8p = -12 + -22 + 3p

Combine like terms: -12 + -22 = -34
-24 + 8p = -34 + 3p

Solving
-24 + 8p = -34 + 3p

Solving for variable 'p'.

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

Add '-3p' to each side of the equation.
-24 + 8p + -3p = -34 + 3p + -3p

Combine like terms: 8p + -3p = 5p
-24 + 5p = -34 + 3p + -3p

Combine like terms: 3p + -3p = 0
-24 + 5p = -34 + 0
-24 + 5p = -34

Add '24' to each side of the equation.
-24 + 24 + 5p = -34 + 24

Combine like terms: -24 + 24 = 0
0 + 5p = -34 + 24
5p = -34 + 24

Combine like terms: -34 + 24 = -10
5p = -10

Divide each side by '5'.
p = -2

Simplifying
p = -2

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