4(p+6)-2(1+6p)=-4p+9+3-9p

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Solution for 4(p+6)-2(1+6p)=-4p+9+3-9p equation:


Simplifying
4(p + 6) + -2(1 + 6p) = -4p + 9 + 3 + -9p

Reorder the terms:
4(6 + p) + -2(1 + 6p) = -4p + 9 + 3 + -9p
(6 * 4 + p * 4) + -2(1 + 6p) = -4p + 9 + 3 + -9p
(24 + 4p) + -2(1 + 6p) = -4p + 9 + 3 + -9p
24 + 4p + (1 * -2 + 6p * -2) = -4p + 9 + 3 + -9p
24 + 4p + (-2 + -12p) = -4p + 9 + 3 + -9p

Reorder the terms:
24 + -2 + 4p + -12p = -4p + 9 + 3 + -9p

Combine like terms: 24 + -2 = 22
22 + 4p + -12p = -4p + 9 + 3 + -9p

Combine like terms: 4p + -12p = -8p
22 + -8p = -4p + 9 + 3 + -9p

Reorder the terms:
22 + -8p = 9 + 3 + -4p + -9p

Combine like terms: 9 + 3 = 12
22 + -8p = 12 + -4p + -9p

Combine like terms: -4p + -9p = -13p
22 + -8p = 12 + -13p

Solving
22 + -8p = 12 + -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.
22 + -8p + 13p = 12 + -13p + 13p

Combine like terms: -8p + 13p = 5p
22 + 5p = 12 + -13p + 13p

Combine like terms: -13p + 13p = 0
22 + 5p = 12 + 0
22 + 5p = 12

Add '-22' to each side of the equation.
22 + -22 + 5p = 12 + -22

Combine like terms: 22 + -22 = 0
0 + 5p = 12 + -22
5p = 12 + -22

Combine like terms: 12 + -22 = -10
5p = -10

Divide each side by '5'.
p = -2

Simplifying
p = -2

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