-3(7p+6)-2(2-14p)=3(2+2p)

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Solution for -3(7p+6)-2(2-14p)=3(2+2p) equation:


Simplifying
-3(7p + 6) + -2(2 + -14p) = 3(2 + 2p)

Reorder the terms:
-3(6 + 7p) + -2(2 + -14p) = 3(2 + 2p)
(6 * -3 + 7p * -3) + -2(2 + -14p) = 3(2 + 2p)
(-18 + -21p) + -2(2 + -14p) = 3(2 + 2p)
-18 + -21p + (2 * -2 + -14p * -2) = 3(2 + 2p)
-18 + -21p + (-4 + 28p) = 3(2 + 2p)

Reorder the terms:
-18 + -4 + -21p + 28p = 3(2 + 2p)

Combine like terms: -18 + -4 = -22
-22 + -21p + 28p = 3(2 + 2p)

Combine like terms: -21p + 28p = 7p
-22 + 7p = 3(2 + 2p)
-22 + 7p = (2 * 3 + 2p * 3)
-22 + 7p = (6 + 6p)

Solving
-22 + 7p = 6 + 6p

Solving for variable 'p'.

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

Add '-6p' to each side of the equation.
-22 + 7p + -6p = 6 + 6p + -6p

Combine like terms: 7p + -6p = 1p
-22 + 1p = 6 + 6p + -6p

Combine like terms: 6p + -6p = 0
-22 + 1p = 6 + 0
-22 + 1p = 6

Add '22' to each side of the equation.
-22 + 22 + 1p = 6 + 22

Combine like terms: -22 + 22 = 0
0 + 1p = 6 + 22
1p = 6 + 22

Combine like terms: 6 + 22 = 28
1p = 28

Divide each side by '1'.
p = 28

Simplifying
p = 28

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