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

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


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

Reorder the terms:
-3(6 + 3p) + -2(6 + -14p) = 3(2 + 6p)
(6 * -3 + 3p * -3) + -2(6 + -14p) = 3(2 + 6p)
(-18 + -9p) + -2(6 + -14p) = 3(2 + 6p)
-18 + -9p + (6 * -2 + -14p * -2) = 3(2 + 6p)
-18 + -9p + (-12 + 28p) = 3(2 + 6p)

Reorder the terms:
-18 + -12 + -9p + 28p = 3(2 + 6p)

Combine like terms: -18 + -12 = -30
-30 + -9p + 28p = 3(2 + 6p)

Combine like terms: -9p + 28p = 19p
-30 + 19p = 3(2 + 6p)
-30 + 19p = (2 * 3 + 6p * 3)
-30 + 19p = (6 + 18p)

Solving
-30 + 19p = 6 + 18p

Solving for variable 'p'.

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

Add '-18p' to each side of the equation.
-30 + 19p + -18p = 6 + 18p + -18p

Combine like terms: 19p + -18p = 1p
-30 + 1p = 6 + 18p + -18p

Combine like terms: 18p + -18p = 0
-30 + 1p = 6 + 0
-30 + 1p = 6

Add '30' to each side of the equation.
-30 + 30 + 1p = 6 + 30

Combine like terms: -30 + 30 = 0
0 + 1p = 6 + 30
1p = 6 + 30

Combine like terms: 6 + 30 = 36
1p = 36

Divide each side by '1'.
p = 36

Simplifying
p = 36

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