3(2p+1)+4(2p-3)=2p-15

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Solution for 3(2p+1)+4(2p-3)=2p-15 equation: 


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

Reorder the terms:
3(1 + 2p) + 4(2p + -3) = 2p + -15
(1 * 3 + 2p * 3) + 4(2p + -3) = 2p + -15
(3 + 6p) + 4(2p + -3) = 2p + -15

Reorder the terms:
3 + 6p + 4(-3 + 2p) = 2p + -15
3 + 6p + (-3 * 4 + 2p * 4) = 2p + -15
3 + 6p + (-12 + 8p) = 2p + -15

Reorder the terms:
3 + -12 + 6p + 8p = 2p + -15

Combine like terms: 3 + -12 = -9
-9 + 6p + 8p = 2p + -15

Combine like terms: 6p + 8p = 14p
-9 + 14p = 2p + -15

Reorder the terms:
-9 + 14p = -15 + 2p

Solving
-9 + 14p = -15 + 2p

Solving for variable 'p'.

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

Add '-2p' to each side of the equation.
-9 + 14p + -2p = -15 + 2p + -2p

Combine like terms: 14p + -2p = 12p
-9 + 12p = -15 + 2p + -2p

Combine like terms: 2p + -2p = 0
-9 + 12p = -15 + 0
-9 + 12p = -15

Add '9' to each side of the equation.
-9 + 9 + 12p = -15 + 9

Combine like terms: -9 + 9 = 0
0 + 12p = -15 + 9
12p = -15 + 9

Combine like terms: -15 + 9 = -6
12p = -6

Divide each side by '12'.
p = -0.5

Simplifying
p = -0.5

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