-7p-4(6-4p)=5(p-3)-33

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Solution for -7p-4(6-4p)=5(p-3)-33 equation:


Simplifying
-7p + -4(6 + -4p) = 5(p + -3) + -33
-7p + (6 * -4 + -4p * -4) = 5(p + -3) + -33
-7p + (-24 + 16p) = 5(p + -3) + -33

Reorder the terms:
-24 + -7p + 16p = 5(p + -3) + -33

Combine like terms: -7p + 16p = 9p
-24 + 9p = 5(p + -3) + -33

Reorder the terms:
-24 + 9p = 5(-3 + p) + -33
-24 + 9p = (-3 * 5 + p * 5) + -33
-24 + 9p = (-15 + 5p) + -33

Reorder the terms:
-24 + 9p = -15 + -33 + 5p

Combine like terms: -15 + -33 = -48
-24 + 9p = -48 + 5p

Solving
-24 + 9p = -48 + 5p

Solving for variable 'p'.

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

Add '-5p' to each side of the equation.
-24 + 9p + -5p = -48 + 5p + -5p

Combine like terms: 9p + -5p = 4p
-24 + 4p = -48 + 5p + -5p

Combine like terms: 5p + -5p = 0
-24 + 4p = -48 + 0
-24 + 4p = -48

Add '24' to each side of the equation.
-24 + 24 + 4p = -48 + 24

Combine like terms: -24 + 24 = 0
0 + 4p = -48 + 24
4p = -48 + 24

Combine like terms: -48 + 24 = -24
4p = -24

Divide each side by '4'.
p = -6

Simplifying
p = -6

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