-3(6p+5)-2(3-14p)=3(9+3p)

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Solution for -3(6p+5)-2(3-14p)=3(9+3p) equation:


Simplifying
-3(6p + 5) + -2(3 + -14p) = 3(9 + 3p)

Reorder the terms:
-3(5 + 6p) + -2(3 + -14p) = 3(9 + 3p)
(5 * -3 + 6p * -3) + -2(3 + -14p) = 3(9 + 3p)
(-15 + -18p) + -2(3 + -14p) = 3(9 + 3p)
-15 + -18p + (3 * -2 + -14p * -2) = 3(9 + 3p)
-15 + -18p + (-6 + 28p) = 3(9 + 3p)

Reorder the terms:
-15 + -6 + -18p + 28p = 3(9 + 3p)

Combine like terms: -15 + -6 = -21
-21 + -18p + 28p = 3(9 + 3p)

Combine like terms: -18p + 28p = 10p
-21 + 10p = 3(9 + 3p)
-21 + 10p = (9 * 3 + 3p * 3)
-21 + 10p = (27 + 9p)

Solving
-21 + 10p = 27 + 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.
-21 + 10p + -9p = 27 + 9p + -9p

Combine like terms: 10p + -9p = 1p
-21 + 1p = 27 + 9p + -9p

Combine like terms: 9p + -9p = 0
-21 + 1p = 27 + 0
-21 + 1p = 27

Add '21' to each side of the equation.
-21 + 21 + 1p = 27 + 21

Combine like terms: -21 + 21 = 0
0 + 1p = 27 + 21
1p = 27 + 21

Combine like terms: 27 + 21 = 48
1p = 48

Divide each side by '1'.
p = 48

Simplifying
p = 48

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