2p+(3-p)+3-4p+6(p+5)-(2+4p)=2p+4-3(p+4-2p+4)-7

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Solution for 2p+(3-p)+3-4p+6(p+5)-(2+4p)=2p+4-3(p+4-2p+4)-7 equation: 


Simplifying
2p + (3 + -1p) + 3 + -4p + 6(p + 5) + -1(2 + 4p) = 2p + 4 + -3(p + 4 + -2p + 4) + -7

Remove parenthesis around (3 + -1p)
2p + 3 + -1p + 3 + -4p + 6(p + 5) + -1(2 + 4p) = 2p + 4 + -3(p + 4 + -2p + 4) + -7

Reorder the terms:
2p + 3 + -1p + 3 + -4p + 6(5 + p) + -1(2 + 4p) = 2p + 4 + -3(p + 4 + -2p + 4) + -7
2p + 3 + -1p + 3 + -4p + (5 * 6 + p * 6) + -1(2 + 4p) = 2p + 4 + -3(p + 4 + -2p + 4) + -7
2p + 3 + -1p + 3 + -4p + (30 + 6p) + -1(2 + 4p) = 2p + 4 + -3(p + 4 + -2p + 4) + -7
2p + 3 + -1p + 3 + -4p + 30 + 6p + (2 * -1 + 4p * -1) = 2p + 4 + -3(p + 4 + -2p + 4) + -7
2p + 3 + -1p + 3 + -4p + 30 + 6p + (-2 + -4p) = 2p + 4 + -3(p + 4 + -2p + 4) + -7

Reorder the terms:
3 + 3 + 30 + -2 + 2p + -1p + -4p + 6p + -4p = 2p + 4 + -3(p + 4 + -2p + 4) + -7

Combine like terms: 3 + 3 = 6
6 + 30 + -2 + 2p + -1p + -4p + 6p + -4p = 2p + 4 + -3(p + 4 + -2p + 4) + -7

Combine like terms: 6 + 30 = 36
36 + -2 + 2p + -1p + -4p + 6p + -4p = 2p + 4 + -3(p + 4 + -2p + 4) + -7

Combine like terms: 36 + -2 = 34
34 + 2p + -1p + -4p + 6p + -4p = 2p + 4 + -3(p + 4 + -2p + 4) + -7

Combine like terms: 2p + -1p = 1p
34 + 1p + -4p + 6p + -4p = 2p + 4 + -3(p + 4 + -2p + 4) + -7

Combine like terms: 1p + -4p = -3p
34 + -3p + 6p + -4p = 2p + 4 + -3(p + 4 + -2p + 4) + -7

Combine like terms: -3p + 6p = 3p
34 + 3p + -4p = 2p + 4 + -3(p + 4 + -2p + 4) + -7

Combine like terms: 3p + -4p = -1p
34 + -1p = 2p + 4 + -3(p + 4 + -2p + 4) + -7

Reorder the terms:
34 + -1p = 2p + 4 + -3(4 + 4 + p + -2p) + -7

Combine like terms: 4 + 4 = 8
34 + -1p = 2p + 4 + -3(8 + p + -2p) + -7

Combine like terms: p + -2p = -1p
34 + -1p = 2p + 4 + -3(8 + -1p) + -7
34 + -1p = 2p + 4 + (8 * -3 + -1p * -3) + -7
34 + -1p = 2p + 4 + (-24 + 3p) + -7

Reorder the terms:
34 + -1p = 4 + -24 + -7 + 2p + 3p

Combine like terms: 4 + -24 = -20
34 + -1p = -20 + -7 + 2p + 3p

Combine like terms: -20 + -7 = -27
34 + -1p = -27 + 2p + 3p

Combine like terms: 2p + 3p = 5p
34 + -1p = -27 + 5p

Solving
34 + -1p = -27 + 5p

Solving for variable 'p'.

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

Add '-5p' to each side of the equation.
34 + -1p + -5p = -27 + 5p + -5p

Combine like terms: -1p + -5p = -6p
34 + -6p = -27 + 5p + -5p

Combine like terms: 5p + -5p = 0
34 + -6p = -27 + 0
34 + -6p = -27

Add '-34' to each side of the equation.
34 + -34 + -6p = -27 + -34

Combine like terms: 34 + -34 = 0
0 + -6p = -27 + -34
-6p = -27 + -34

Combine like terms: -27 + -34 = -61
-6p = -61

Divide each side by '-6'.
p = 10.16666667

Simplifying
p = 10.16666667

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