-3(3p+2)-2(4-14p)=3(4+6p)

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Solution for -3(3p+2)-2(4-14p)=3(4+6p) equation:


Simplifying
-3(3p + 2) + -2(4 + -14p) = 3(4 + 6p)

Reorder the terms:
-3(2 + 3p) + -2(4 + -14p) = 3(4 + 6p)
(2 * -3 + 3p * -3) + -2(4 + -14p) = 3(4 + 6p)
(-6 + -9p) + -2(4 + -14p) = 3(4 + 6p)
-6 + -9p + (4 * -2 + -14p * -2) = 3(4 + 6p)
-6 + -9p + (-8 + 28p) = 3(4 + 6p)

Reorder the terms:
-6 + -8 + -9p + 28p = 3(4 + 6p)

Combine like terms: -6 + -8 = -14
-14 + -9p + 28p = 3(4 + 6p)

Combine like terms: -9p + 28p = 19p
-14 + 19p = 3(4 + 6p)
-14 + 19p = (4 * 3 + 6p * 3)
-14 + 19p = (12 + 18p)

Solving
-14 + 19p = 12 + 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.
-14 + 19p + -18p = 12 + 18p + -18p

Combine like terms: 19p + -18p = 1p
-14 + 1p = 12 + 18p + -18p

Combine like terms: 18p + -18p = 0
-14 + 1p = 12 + 0
-14 + 1p = 12

Add '14' to each side of the equation.
-14 + 14 + 1p = 12 + 14

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

Combine like terms: 12 + 14 = 26
1p = 26

Divide each side by '1'.
p = 26

Simplifying
p = 26

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