-3(6p+6)-2(6-14p)=3(8+3p)

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Solution for -3(6p+6)-2(6-14p)=3(8+3p) equation:


Simplifying
-3(6p + 6) + -2(6 + -14p) = 3(8 + 3p)

Reorder the terms:
-3(6 + 6p) + -2(6 + -14p) = 3(8 + 3p)
(6 * -3 + 6p * -3) + -2(6 + -14p) = 3(8 + 3p)
(-18 + -18p) + -2(6 + -14p) = 3(8 + 3p)
-18 + -18p + (6 * -2 + -14p * -2) = 3(8 + 3p)
-18 + -18p + (-12 + 28p) = 3(8 + 3p)

Reorder the terms:
-18 + -12 + -18p + 28p = 3(8 + 3p)

Combine like terms: -18 + -12 = -30
-30 + -18p + 28p = 3(8 + 3p)

Combine like terms: -18p + 28p = 10p
-30 + 10p = 3(8 + 3p)
-30 + 10p = (8 * 3 + 3p * 3)
-30 + 10p = (24 + 9p)

Solving
-30 + 10p = 24 + 9p

Solving for variable 'p'.

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

Add '-9p' to each side of the equation.
-30 + 10p + -9p = 24 + 9p + -9p

Combine like terms: 10p + -9p = 1p
-30 + 1p = 24 + 9p + -9p

Combine like terms: 9p + -9p = 0
-30 + 1p = 24 + 0
-30 + 1p = 24

Add '30' to each side of the equation.
-30 + 30 + 1p = 24 + 30

Combine like terms: -30 + 30 = 0
0 + 1p = 24 + 30
1p = 24 + 30

Combine like terms: 24 + 30 = 54
1p = 54

Divide each side by '1'.
p = 54

Simplifying
p = 54

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