3(2p+12)=6(p+1)-40p

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Solution for 3(2p+12)=6(p+1)-40p equation:


Simplifying
3(2p + 12) = 6(p + 1) + -40p

Reorder the terms:
3(12 + 2p) = 6(p + 1) + -40p
(12 * 3 + 2p * 3) = 6(p + 1) + -40p
(36 + 6p) = 6(p + 1) + -40p

Reorder the terms:
36 + 6p = 6(1 + p) + -40p
36 + 6p = (1 * 6 + p * 6) + -40p
36 + 6p = (6 + 6p) + -40p

Combine like terms: 6p + -40p = -34p
36 + 6p = 6 + -34p

Solving
36 + 6p = 6 + -34p

Solving for variable 'p'.

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

Add '34p' to each side of the equation.
36 + 6p + 34p = 6 + -34p + 34p

Combine like terms: 6p + 34p = 40p
36 + 40p = 6 + -34p + 34p

Combine like terms: -34p + 34p = 0
36 + 40p = 6 + 0
36 + 40p = 6

Add '-36' to each side of the equation.
36 + -36 + 40p = 6 + -36

Combine like terms: 36 + -36 = 0
0 + 40p = 6 + -36
40p = 6 + -36

Combine like terms: 6 + -36 = -30
40p = -30

Divide each side by '40'.
p = -0.75

Simplifying
p = -0.75

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