-3(7p+5)-2(5-14p)=3(9+2p)

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Solution for -3(7p+5)-2(5-14p)=3(9+2p) equation:


Simplifying
-3(7p + 5) + -2(5 + -14p) = 3(9 + 2p)

Reorder the terms:
-3(5 + 7p) + -2(5 + -14p) = 3(9 + 2p)
(5 * -3 + 7p * -3) + -2(5 + -14p) = 3(9 + 2p)
(-15 + -21p) + -2(5 + -14p) = 3(9 + 2p)
-15 + -21p + (5 * -2 + -14p * -2) = 3(9 + 2p)
-15 + -21p + (-10 + 28p) = 3(9 + 2p)

Reorder the terms:
-15 + -10 + -21p + 28p = 3(9 + 2p)

Combine like terms: -15 + -10 = -25
-25 + -21p + 28p = 3(9 + 2p)

Combine like terms: -21p + 28p = 7p
-25 + 7p = 3(9 + 2p)
-25 + 7p = (9 * 3 + 2p * 3)
-25 + 7p = (27 + 6p)

Solving
-25 + 7p = 27 + 6p

Solving for variable 'p'.

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

Add '-6p' to each side of the equation.
-25 + 7p + -6p = 27 + 6p + -6p

Combine like terms: 7p + -6p = 1p
-25 + 1p = 27 + 6p + -6p

Combine like terms: 6p + -6p = 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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