7(2p+1)-4(3p+2)=0

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Solution for 7(2p+1)-4(3p+2)=0 equation:


Simplifying
7(2p + 1) + -4(3p + 2) = 0

Reorder the terms:
7(1 + 2p) + -4(3p + 2) = 0
(1 * 7 + 2p * 7) + -4(3p + 2) = 0
(7 + 14p) + -4(3p + 2) = 0

Reorder the terms:
7 + 14p + -4(2 + 3p) = 0
7 + 14p + (2 * -4 + 3p * -4) = 0
7 + 14p + (-8 + -12p) = 0

Reorder the terms:
7 + -8 + 14p + -12p = 0

Combine like terms: 7 + -8 = -1
-1 + 14p + -12p = 0

Combine like terms: 14p + -12p = 2p
-1 + 2p = 0

Solving
-1 + 2p = 0

Solving for variable 'p'.

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

Add '1' to each side of the equation.
-1 + 1 + 2p = 0 + 1

Combine like terms: -1 + 1 = 0
0 + 2p = 0 + 1
2p = 0 + 1

Combine like terms: 0 + 1 = 1
2p = 1

Divide each side by '2'.
p = 0.5

Simplifying
p = 0.5

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