6p+5(p+6)=4(8+6p)-11p

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Solution for 6p+5(p+6)=4(8+6p)-11p equation:


Simplifying
6p + 5(p + 6) = 4(8 + 6p) + -11p

Reorder the terms:
6p + 5(6 + p) = 4(8 + 6p) + -11p
6p + (6 * 5 + p * 5) = 4(8 + 6p) + -11p
6p + (30 + 5p) = 4(8 + 6p) + -11p

Reorder the terms:
30 + 6p + 5p = 4(8 + 6p) + -11p

Combine like terms: 6p + 5p = 11p
30 + 11p = 4(8 + 6p) + -11p
30 + 11p = (8 * 4 + 6p * 4) + -11p
30 + 11p = (32 + 24p) + -11p

Combine like terms: 24p + -11p = 13p
30 + 11p = 32 + 13p

Solving
30 + 11p = 32 + 13p

Solving for variable 'p'.

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

Add '-13p' to each side of the equation.
30 + 11p + -13p = 32 + 13p + -13p

Combine like terms: 11p + -13p = -2p
30 + -2p = 32 + 13p + -13p

Combine like terms: 13p + -13p = 0
30 + -2p = 32 + 0
30 + -2p = 32

Add '-30' to each side of the equation.
30 + -30 + -2p = 32 + -30

Combine like terms: 30 + -30 = 0
0 + -2p = 32 + -30
-2p = 32 + -30

Combine like terms: 32 + -30 = 2
-2p = 2

Divide each side by '-2'.
p = -1

Simplifying
p = -1

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