6+5(1+3p)=4(6p+1)-2p

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Solution for 6+5(1+3p)=4(6p+1)-2p equation: 


Simplifying
6 + 5(1 + 3p) = 4(6p + 1) + -2p
6 + (1 * 5 + 3p * 5) = 4(6p + 1) + -2p
6 + (5 + 15p) = 4(6p + 1) + -2p

Combine like terms: 6 + 5 = 11
11 + 15p = 4(6p + 1) + -2p

Reorder the terms:
11 + 15p = 4(1 + 6p) + -2p
11 + 15p = (1 * 4 + 6p * 4) + -2p
11 + 15p = (4 + 24p) + -2p

Combine like terms: 24p + -2p = 22p
11 + 15p = 4 + 22p

Solving
11 + 15p = 4 + 22p

Solving for variable 'p'.

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

Add '-22p' to each side of the equation.
11 + 15p + -22p = 4 + 22p + -22p

Combine like terms: 15p + -22p = -7p
11 + -7p = 4 + 22p + -22p

Combine like terms: 22p + -22p = 0
11 + -7p = 4 + 0
11 + -7p = 4

Add '-11' to each side of the equation.
11 + -11 + -7p = 4 + -11

Combine like terms: 11 + -11 = 0
0 + -7p = 4 + -11
-7p = 4 + -11

Combine like terms: 4 + -11 = -7
-7p = -7

Divide each side by '-7'.
p = 1

Simplifying
p = 1

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