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

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


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

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

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

Combine like terms: -9 + -6 = -15
-15 + -9p + 28p = 3(8 + 6p)

Combine like terms: -9p + 28p = 19p
-15 + 19p = 3(8 + 6p)
-15 + 19p = (8 * 3 + 6p * 3)
-15 + 19p = (24 + 18p)

Solving
-15 + 19p = 24 + 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.
-15 + 19p + -18p = 24 + 18p + -18p

Combine like terms: 19p + -18p = 1p
-15 + 1p = 24 + 18p + -18p

Combine like terms: 18p + -18p = 0
-15 + 1p = 24 + 0
-15 + 1p = 24

Add '15' to each side of the equation.
-15 + 15 + 1p = 24 + 15

Combine like terms: -15 + 15 = 0
0 + 1p = 24 + 15
1p = 24 + 15

Combine like terms: 24 + 15 = 39
1p = 39

Divide each side by '1'.
p = 39

Simplifying
p = 39

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