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

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


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

Reorder the terms:
-3(5 + 3p) + -2(5 + -14p) = 3(9 + 6p)
(5 * -3 + 3p * -3) + -2(5 + -14p) = 3(9 + 6p)
(-15 + -9p) + -2(5 + -14p) = 3(9 + 6p)
-15 + -9p + (5 * -2 + -14p * -2) = 3(9 + 6p)
-15 + -9p + (-10 + 28p) = 3(9 + 6p)

Reorder the terms:
-15 + -10 + -9p + 28p = 3(9 + 6p)

Combine like terms: -15 + -10 = -25
-25 + -9p + 28p = 3(9 + 6p)

Combine like terms: -9p + 28p = 19p
-25 + 19p = 3(9 + 6p)
-25 + 19p = (9 * 3 + 6p * 3)
-25 + 19p = (27 + 18p)

Solving
-25 + 19p = 27 + 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.
-25 + 19p + -18p = 27 + 18p + -18p

Combine like terms: 19p + -18p = 1p
-25 + 1p = 27 + 18p + -18p

Combine like terms: 18p + -18p = 0
-25 + 1p = 27 + 0
-25 + 1p = 27

Add '25' to each side of the equation.
-25 + 25 + 1p = 27 + 25

Combine like terms: -25 + 25 = 0
0 + 1p = 27 + 25
1p = 27 + 25

Combine like terms: 27 + 25 = 52
1p = 52

Divide each side by '1'.
p = 52

Simplifying
p = 52

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