10p-2(3p-6)=4(5p-6)-10

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Solution for 10p-2(3p-6)=4(5p-6)-10 equation: 


Simplifying
10p + -2(3p + -6) = 4(5p + -6) + -10

Reorder the terms:
10p + -2(-6 + 3p) = 4(5p + -6) + -10
10p + (-6 * -2 + 3p * -2) = 4(5p + -6) + -10
10p + (12 + -6p) = 4(5p + -6) + -10

Reorder the terms:
12 + 10p + -6p = 4(5p + -6) + -10

Combine like terms: 10p + -6p = 4p
12 + 4p = 4(5p + -6) + -10

Reorder the terms:
12 + 4p = 4(-6 + 5p) + -10
12 + 4p = (-6 * 4 + 5p * 4) + -10
12 + 4p = (-24 + 20p) + -10

Reorder the terms:
12 + 4p = -24 + -10 + 20p

Combine like terms: -24 + -10 = -34
12 + 4p = -34 + 20p

Solving
12 + 4p = -34 + 20p

Solving for variable 'p'.

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

Add '-20p' to each side of the equation.
12 + 4p + -20p = -34 + 20p + -20p

Combine like terms: 4p + -20p = -16p
12 + -16p = -34 + 20p + -20p

Combine like terms: 20p + -20p = 0
12 + -16p = -34 + 0
12 + -16p = -34

Add '-12' to each side of the equation.
12 + -12 + -16p = -34 + -12

Combine like terms: 12 + -12 = 0
0 + -16p = -34 + -12
-16p = -34 + -12

Combine like terms: -34 + -12 = -46
-16p = -46

Divide each side by '-16'.
p = 2.875

Simplifying
p = 2.875

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