-3(7p+2)-2(3-20p)=3(4+6p)

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Solution for -3(7p+2)-2(3-20p)=3(4+6p) equation:


Simplifying
-3(7p + 2) + -2(3 + -20p) = 3(4 + 6p)

Reorder the terms:
-3(2 + 7p) + -2(3 + -20p) = 3(4 + 6p)
(2 * -3 + 7p * -3) + -2(3 + -20p) = 3(4 + 6p)
(-6 + -21p) + -2(3 + -20p) = 3(4 + 6p)
-6 + -21p + (3 * -2 + -20p * -2) = 3(4 + 6p)
-6 + -21p + (-6 + 40p) = 3(4 + 6p)

Reorder the terms:
-6 + -6 + -21p + 40p = 3(4 + 6p)

Combine like terms: -6 + -6 = -12
-12 + -21p + 40p = 3(4 + 6p)

Combine like terms: -21p + 40p = 19p
-12 + 19p = 3(4 + 6p)
-12 + 19p = (4 * 3 + 6p * 3)
-12 + 19p = (12 + 18p)

Solving
-12 + 19p = 12 + 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.
-12 + 19p + -18p = 12 + 18p + -18p

Combine like terms: 19p + -18p = 1p
-12 + 1p = 12 + 18p + -18p

Combine like terms: 18p + -18p = 0
-12 + 1p = 12 + 0
-12 + 1p = 12

Add '12' to each side of the equation.
-12 + 12 + 1p = 12 + 12

Combine like terms: -12 + 12 = 0
0 + 1p = 12 + 12
1p = 12 + 12

Combine like terms: 12 + 12 = 24
1p = 24

Divide each side by '1'.
p = 24

Simplifying
p = 24

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