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

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


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

Reorder the terms:
-3(3 + 5p) + -2(2 + -11p) = 3(7 + 2p)
(3 * -3 + 5p * -3) + -2(2 + -11p) = 3(7 + 2p)
(-9 + -15p) + -2(2 + -11p) = 3(7 + 2p)
-9 + -15p + (2 * -2 + -11p * -2) = 3(7 + 2p)
-9 + -15p + (-4 + 22p) = 3(7 + 2p)

Reorder the terms:
-9 + -4 + -15p + 22p = 3(7 + 2p)

Combine like terms: -9 + -4 = -13
-13 + -15p + 22p = 3(7 + 2p)

Combine like terms: -15p + 22p = 7p
-13 + 7p = 3(7 + 2p)
-13 + 7p = (7 * 3 + 2p * 3)
-13 + 7p = (21 + 6p)

Solving
-13 + 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.
-13 + 7p + -6p = 21 + 6p + -6p

Combine like terms: 7p + -6p = 1p
-13 + 1p = 21 + 6p + -6p

Combine like terms: 6p + -6p = 0
-13 + 1p = 21 + 0
-13 + 1p = 21

Add '13' to each side of the equation.
-13 + 13 + 1p = 21 + 13

Combine like terms: -13 + 13 = 0
0 + 1p = 21 + 13
1p = 21 + 13

Combine like terms: 21 + 13 = 34
1p = 34

Divide each side by '1'.
p = 34

Simplifying
p = 34

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