-4(5p-6)+8(2p+5)=6p+6p

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Solution for -4(5p-6)+8(2p+5)=6p+6p equation:


Simplifying
-4(5p + -6) + 8(2p + 5) = 6p + 6p

Reorder the terms:
-4(-6 + 5p) + 8(2p + 5) = 6p + 6p
(-6 * -4 + 5p * -4) + 8(2p + 5) = 6p + 6p
(24 + -20p) + 8(2p + 5) = 6p + 6p

Reorder the terms:
24 + -20p + 8(5 + 2p) = 6p + 6p
24 + -20p + (5 * 8 + 2p * 8) = 6p + 6p
24 + -20p + (40 + 16p) = 6p + 6p

Reorder the terms:
24 + 40 + -20p + 16p = 6p + 6p

Combine like terms: 24 + 40 = 64
64 + -20p + 16p = 6p + 6p

Combine like terms: -20p + 16p = -4p
64 + -4p = 6p + 6p

Combine like terms: 6p + 6p = 12p
64 + -4p = 12p

Solving
64 + -4p = 12p

Solving for variable 'p'.

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

Add '-12p' to each side of the equation.
64 + -4p + -12p = 12p + -12p

Combine like terms: -4p + -12p = -16p
64 + -16p = 12p + -12p

Combine like terms: 12p + -12p = 0
64 + -16p = 0

Add '-64' to each side of the equation.
64 + -64 + -16p = 0 + -64

Combine like terms: 64 + -64 = 0
0 + -16p = 0 + -64
-16p = 0 + -64

Combine like terms: 0 + -64 = -64
-16p = -64

Divide each side by '-16'.
p = 4

Simplifying
p = 4

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