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

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


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

Reorder the terms:
-3(2 + 7p) + -2(6 + -14p) = 3(6 + 2p)
(2 * -3 + 7p * -3) + -2(6 + -14p) = 3(6 + 2p)
(-6 + -21p) + -2(6 + -14p) = 3(6 + 2p)
-6 + -21p + (6 * -2 + -14p * -2) = 3(6 + 2p)
-6 + -21p + (-12 + 28p) = 3(6 + 2p)

Reorder the terms:
-6 + -12 + -21p + 28p = 3(6 + 2p)

Combine like terms: -6 + -12 = -18
-18 + -21p + 28p = 3(6 + 2p)

Combine like terms: -21p + 28p = 7p
-18 + 7p = 3(6 + 2p)
-18 + 7p = (6 * 3 + 2p * 3)
-18 + 7p = (18 + 6p)

Solving
-18 + 7p = 18 + 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.
-18 + 7p + -6p = 18 + 6p + -6p

Combine like terms: 7p + -6p = 1p
-18 + 1p = 18 + 6p + -6p

Combine like terms: 6p + -6p = 0
-18 + 1p = 18 + 0
-18 + 1p = 18

Add '18' to each side of the equation.
-18 + 18 + 1p = 18 + 18

Combine like terms: -18 + 18 = 0
0 + 1p = 18 + 18
1p = 18 + 18

Combine like terms: 18 + 18 = 36
1p = 36

Divide each side by '1'.
p = 36

Simplifying
p = 36

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