-10p-4(4-5p)=6(p-4)-24

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Solution for -10p-4(4-5p)=6(p-4)-24 equation:


Simplifying
-10p + -4(4 + -5p) = 6(p + -4) + -24
-10p + (4 * -4 + -5p * -4) = 6(p + -4) + -24
-10p + (-16 + 20p) = 6(p + -4) + -24

Reorder the terms:
-16 + -10p + 20p = 6(p + -4) + -24

Combine like terms: -10p + 20p = 10p
-16 + 10p = 6(p + -4) + -24

Reorder the terms:
-16 + 10p = 6(-4 + p) + -24
-16 + 10p = (-4 * 6 + p * 6) + -24
-16 + 10p = (-24 + 6p) + -24

Reorder the terms:
-16 + 10p = -24 + -24 + 6p

Combine like terms: -24 + -24 = -48
-16 + 10p = -48 + 6p

Solving
-16 + 10p = -48 + 6p

Solving for variable 'p'.

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

Add '-6p' to each side of the equation.
-16 + 10p + -6p = -48 + 6p + -6p

Combine like terms: 10p + -6p = 4p
-16 + 4p = -48 + 6p + -6p

Combine like terms: 6p + -6p = 0
-16 + 4p = -48 + 0
-16 + 4p = -48

Add '16' to each side of the equation.
-16 + 16 + 4p = -48 + 16

Combine like terms: -16 + 16 = 0
0 + 4p = -48 + 16
4p = -48 + 16

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

Divide each side by '4'.
p = -8

Simplifying
p = -8

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