11(2p-6)=8(4p-1)-12p

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Solution for 11(2p-6)=8(4p-1)-12p equation:


Simplifying
11(2p + -6) = 8(4p + -1) + -12p

Reorder the terms:
11(-6 + 2p) = 8(4p + -1) + -12p
(-6 * 11 + 2p * 11) = 8(4p + -1) + -12p
(-66 + 22p) = 8(4p + -1) + -12p

Reorder the terms:
-66 + 22p = 8(-1 + 4p) + -12p
-66 + 22p = (-1 * 8 + 4p * 8) + -12p
-66 + 22p = (-8 + 32p) + -12p

Combine like terms: 32p + -12p = 20p
-66 + 22p = -8 + 20p

Solving
-66 + 22p = -8 + 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.
-66 + 22p + -20p = -8 + 20p + -20p

Combine like terms: 22p + -20p = 2p
-66 + 2p = -8 + 20p + -20p

Combine like terms: 20p + -20p = 0
-66 + 2p = -8 + 0
-66 + 2p = -8

Add '66' to each side of the equation.
-66 + 66 + 2p = -8 + 66

Combine like terms: -66 + 66 = 0
0 + 2p = -8 + 66
2p = -8 + 66

Combine like terms: -8 + 66 = 58
2p = 58

Divide each side by '2'.
p = 29

Simplifying
p = 29

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