7(7+4p)-5p=7(2p+1)+6

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Solution for 7(7+4p)-5p=7(2p+1)+6 equation: 


Simplifying
7(7 + 4p) + -5p = 7(2p + 1) + 6
(7 * 7 + 4p * 7) + -5p = 7(2p + 1) + 6
(49 + 28p) + -5p = 7(2p + 1) + 6

Combine like terms: 28p + -5p = 23p
49 + 23p = 7(2p + 1) + 6

Reorder the terms:
49 + 23p = 7(1 + 2p) + 6
49 + 23p = (1 * 7 + 2p * 7) + 6
49 + 23p = (7 + 14p) + 6

Reorder the terms:
49 + 23p = 7 + 6 + 14p

Combine like terms: 7 + 6 = 13
49 + 23p = 13 + 14p

Solving
49 + 23p = 13 + 14p

Solving for variable 'p'.

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

Add '-14p' to each side of the equation.
49 + 23p + -14p = 13 + 14p + -14p

Combine like terms: 23p + -14p = 9p
49 + 9p = 13 + 14p + -14p

Combine like terms: 14p + -14p = 0
49 + 9p = 13 + 0
49 + 9p = 13

Add '-49' to each side of the equation.
49 + -49 + 9p = 13 + -49

Combine like terms: 49 + -49 = 0
0 + 9p = 13 + -49
9p = 13 + -49

Combine like terms: 13 + -49 = -36
9p = -36

Divide each side by '9'.
p = -4

Simplifying
p = -4

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