-3(5p+4)-2(1-11p)=3(7+2p)

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Solution for -3(5p+4)-2(1-11p)=3(7+2p) equation:


Simplifying
-3(5p + 4) + -2(1 + -11p) = 3(7 + 2p)

Reorder the terms:
-3(4 + 5p) + -2(1 + -11p) = 3(7 + 2p)
(4 * -3 + 5p * -3) + -2(1 + -11p) = 3(7 + 2p)
(-12 + -15p) + -2(1 + -11p) = 3(7 + 2p)
-12 + -15p + (1 * -2 + -11p * -2) = 3(7 + 2p)
-12 + -15p + (-2 + 22p) = 3(7 + 2p)

Reorder the terms:
-12 + -2 + -15p + 22p = 3(7 + 2p)

Combine like terms: -12 + -2 = -14
-14 + -15p + 22p = 3(7 + 2p)

Combine like terms: -15p + 22p = 7p
-14 + 7p = 3(7 + 2p)
-14 + 7p = (7 * 3 + 2p * 3)
-14 + 7p = (21 + 6p)

Solving
-14 + 7p = 21 + 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.
-14 + 7p + -6p = 21 + 6p + -6p

Combine like terms: 7p + -6p = 1p
-14 + 1p = 21 + 6p + -6p

Combine like terms: 6p + -6p = 0
-14 + 1p = 21 + 0
-14 + 1p = 21

Add '14' to each side of the equation.
-14 + 14 + 1p = 21 + 14

Combine like terms: -14 + 14 = 0
0 + 1p = 21 + 14
1p = 21 + 14

Combine like terms: 21 + 14 = 35
1p = 35

Divide each side by '1'.
p = 35

Simplifying
p = 35

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